Derivative of cos(x)-(3*e^(-15*(x-2)*(x-2))*(x-2)*sin(50*x))+5*e^(-15*(x-2)*(x-2))*cos(50*x)

Derivative of cos(x)-(3*e^(-15*(x-2)*(x-2))*(x-2)*sin(50*x))+5*e^(-15*(x-2)*(x-2))*cos(50*x). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of cos(x)-(3*e^(-15*(x-2)*(x-2))*(x-2)*sin(50*x))+5*e^(-15*(x-2)*(x-2))*cos(50*x): 


(cos(x)-(3*e^(-15*(x-2)*(x-2))*(x-2)*sin(50*x))+5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(cos(x)-(3*e^(-15*(x-2)*(x-2))*(x-2)*sin(50*x)))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(cos(x))'+(-(3*e^(-15*(x-2)*(x-2))*(x-2)*sin(50*x)))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(-(3*e^(-15*(x-2)*(x-2))*(x-2)*sin(50*x)))'-sin(x)+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)*(x-2))*(x-2))'*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((3*e^(-15*(x-2)*(x-2)))'*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(((3)'*e^(-15*(x-2)*(x-2))+3*(e^(-15*(x-2)*(x-2)))')*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*(e^(-15*(x-2)*(x-2)))')*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*((-15*(x-2)*(x-2))'*ln(e)+(-15*(x-2)*(x-2)*(e)')/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*((-15*(x-2)*(x-2))'*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*(((-15*(x-2))'*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*((((-15)'*(x-2)-15*(x-2)')*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*(((0*(x-2)-15*(x-2)')*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*(((0*(x-2)-15*((x)'+(-2)'))*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*(((0*(x-2)-15*((-2)'+1))*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*(((0*(x-2)-15*(0+1))*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*(((0*(x-2)-15*1)*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*((-15*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*((-15*(x-2)-15*(x-2)*((x)'+(-2)'))*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*((-15*(x-2)-15*(x-2)*((-2)'+1))*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*((-15*(x-2)-15*(x-2)*(0+1))*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*((-15*(x-2)-15*(x-2)*1)*ln(e)+(-15*(x-2)*(x-2)*0)/e))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)*(x-2))*((-15*(x-2)*(x-2)*0)/e-30*(x-2)*ln(e)))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^((-15*(x-2))'*(x-2)-15*(x-2)*(x-2)'))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(((-15)'*(x-2)-15*(x-2)')*(x-2)-15*(x-2)*(x-2)'))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^((0*(x-2)-15*(x-2)')*(x-2)-15*(x-2)*(x-2)'))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^((0*(x-2)-15*((x)'+(-2)'))*(x-2)-15*(x-2)*(x-2)'))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^((0*(x-2)-15*((-2)'+1))*(x-2)-15*(x-2)*(x-2)'))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^((0*(x-2)-15*(0+1))*(x-2)-15*(x-2)*(x-2)'))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^((0*(x-2)-15*1)*(x-2)-15*(x-2)*(x-2)'))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)-15*(x-2)*(x-2)'))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)-15*(x-2)*((x)'+(-2)')))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)-15*(x-2)*((-2)'+1)))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)-15*(x-2)*(0+1)))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*e^(-15*(x-2)-15*(x-2)*1))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*0^(-15*(x-2)*(x-2)))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

((0*e^(-15*(x-2)*(x-2))+3*-30*e^(-15*(x-2)^2)*(x-2))*(x-2)+3*e^(-15*(x-2)*(x-2))*(x-2)')*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)*(x-2))*(x-2)'-90*e^(-15*(x-2)^2)*(x-2)*(x-2))*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)*(x-2))*((x)'+(-2)')-90*e^(-15*(x-2)^2)*(x-2)*(x-2))*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)*(x-2))*((-2)'+1)-90*e^(-15*(x-2)^2)*(x-2)*(x-2))*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)*(x-2))*(0+1)-90*e^(-15*(x-2)^2)*(x-2)*(x-2))*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)*(x-2))*1-90*e^(-15*(x-2)^2)*(x-2)*(x-2))*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*(sin(50*x))'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*cos(50*x)*(50*x)'+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*cos(50*x)*((50)'*x+50*(x)')+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*cos(50*x)*(0*x+50*(x)')+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*cos(50*x)*(0*x+50*1)+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x)-sin(x)+3*e^(-15*(x-2)*(x-2))*(x-2)*50*cos(50*x)+(5*e^(-15*(x-2)*(x-2))*cos(50*x))'

(5*e^(-15*(x-2)*(x-2)))'*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

((5)'*e^(-15*(x-2)*(x-2))+5*(e^(-15*(x-2)*(x-2)))')*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*(e^(-15*(x-2)*(x-2)))')*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*((-15*(x-2)*(x-2))'*ln(e)+(-15*(x-2)*(x-2)*(e)')/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*((-15*(x-2)*(x-2))'*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*(((-15*(x-2))'*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*((((-15)'*(x-2)-15*(x-2)')*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*(((0*(x-2)-15*(x-2)')*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*(((0*(x-2)-15*((x)'+(-2)'))*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*(((0*(x-2)-15*((-2)'+1))*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*(((0*(x-2)-15*(0+1))*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*(((0*(x-2)-15*1)*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*((-15*(x-2)-15*(x-2)*(x-2)')*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*((-15*(x-2)-15*(x-2)*((x)'+(-2)'))*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*((-15*(x-2)-15*(x-2)*((-2)'+1))*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*((-15*(x-2)-15*(x-2)*(0+1))*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*((-15*(x-2)-15*(x-2)*1)*ln(e)+(-15*(x-2)*(x-2)*0)/e))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)*(x-2))*((-15*(x-2)*(x-2)*0)/e-30*(x-2)*ln(e)))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^((-15*(x-2))'*(x-2)-15*(x-2)*(x-2)'))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(((-15)'*(x-2)-15*(x-2)')*(x-2)-15*(x-2)*(x-2)'))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^((0*(x-2)-15*(x-2)')*(x-2)-15*(x-2)*(x-2)'))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^((0*(x-2)-15*((x)'+(-2)'))*(x-2)-15*(x-2)*(x-2)'))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^((0*(x-2)-15*((-2)'+1))*(x-2)-15*(x-2)*(x-2)'))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^((0*(x-2)-15*(0+1))*(x-2)-15*(x-2)*(x-2)'))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^((0*(x-2)-15*1)*(x-2)-15*(x-2)*(x-2)'))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)-15*(x-2)*(x-2)'))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)-15*(x-2)*((x)'+(-2)')))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)-15*(x-2)*((-2)'+1)))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)-15*(x-2)*(0+1)))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*e^(-15*(x-2)-15*(x-2)*1))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*0^(-15*(x-2)*(x-2)))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

(0*e^(-15*(x-2)*(x-2))+5*-30*e^(-15*(x-2)^2)*(x-2))*cos(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)+5*e^(-15*(x-2)*(x-2))*(cos(50*x))'

5*e^(-15*(x-2)*(x-2))*(cos(50*x))'-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)-150*e^(-15*(x-2)^2)*(x-2)*cos(50*x)

5*e^(-15*(x-2)*(x-2))*-sin(50*x)*(50*x)'-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)-150*e^(-15*(x-2)^2)*(x-2)*cos(50*x)

5*e^(-15*(x-2)*(x-2))*-sin(50*x)*((50)'*x+50*(x)')-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)-150*e^(-15*(x-2)^2)*(x-2)*cos(50*x)

5*e^(-15*(x-2)*(x-2))*-sin(50*x)*(0*x+50*(x)')-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)-150*e^(-15*(x-2)^2)*(x-2)*cos(50*x)

5*e^(-15*(x-2)*(x-2))*-sin(50*x)*(0*x+50*1)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)-150*e^(-15*(x-2)^2)*(x-2)*cos(50*x)

5*e^(-15*(x-2)*(x-2))*50*(-sin(50*x))-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)-150*e^(-15*(x-2)^2)*(x-2)*cos(50*x)

5*e^(-15*(x-2)*(x-2))*-50*sin(50*x)-sin(x)-((3*e^(-15*(x-2)^2)-90*(x-2)^2*e^(-15*(x-2)^2))*sin(50*x))-150*cos(50*x)*(x-2)*e^(-15*(x-2)^2)-150*e^(-15*(x-2)^2)*(x-2)*cos(50*x)

-sin(x)-((3*e^(-15*(x-2)^2)-(90*(x-2)^2*e^(-15*(x-2)^2)))*sin(50*x))-(150*cos(50*x)*(x-2)*e^(-15*(x-2)^2))-(150*e^(-15*(x-2)^2)*(x-2)*cos(50*x))-(250*e^(-15*(x-2)^2)*sin(50*x))

The calculation above is a derivative of the function f (x)

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