Derivative of (-6*e^(3*x)-(18*x*e^(3*x)))*sin(x)-(6*x*e^(3*x)*cos(x))

Derivative of (-6*e^(3*x)-(18*x*e^(3*x)))*sin(x)-(6*x*e^(3*x)*cos(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 (-6*e^(3*x)-(18*x*e^(3*x)))*sin(x)-(6*x*e^(3*x)*cos(x)): 


((-6*e^(3*x)-(18*x*e^(3*x)))*sin(x)-(6*x*e^(3*x)*cos(x)))'

((-6*e^(3*x)-(18*x*e^(3*x)))*sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(-6*e^(3*x)-(18*x*e^(3*x)))'*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

((-6*e^(3*x))'+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

((-6)'*e^(3*x)-6*(e^(3*x))'+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*(e^(3*x))'+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*e^(3*x)*((3*x)'*ln(e)+(3*x*(e)')/e)+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*e^(3*x)*((3*x)'*ln(e)+(3*x*0)/e)+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*e^(3*x)*(((3)'*x+3*(x)')*ln(e)+(3*x*0)/e)+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*e^(3*x)*((0*x+3*(x)')*ln(e)+(3*x*0)/e)+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*e^(3*x)*((0*x+3*1)*ln(e)+(3*x*0)/e)+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*e^(3*x)*((3*x*0)/e+3*ln(e))+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*e^((3)'*x+3*(x)')+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*e^(0*x+3*(x)')+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*e^(0*x+3*1)+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*0^(3*x)+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(0*e^(3*x)-6*3*e^(3*x)+(-(18*x*e^(3*x)))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

((18*x)'*e^(3*x)-18*e^(3*x)+18*x*(e^(3*x))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(((18)'*x+18*(x)')*e^(3*x)-18*e^(3*x)+18*x*(e^(3*x))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

((0*x+18*(x)')*e^(3*x)-18*e^(3*x)+18*x*(e^(3*x))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

((0*x+18*1)*e^(3*x)-18*e^(3*x)+18*x*(e^(3*x))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*(e^(3*x))')*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*e^(3*x)*((3*x)'*ln(e)+(3*x*(e)')/e))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*e^(3*x)*((3*x)'*ln(e)+(3*x*0)/e))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*e^(3*x)*(((3)'*x+3*(x)')*ln(e)+(3*x*0)/e))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*e^(3*x)*((0*x+3*(x)')*ln(e)+(3*x*0)/e))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*e^(3*x)*((0*x+3*1)*ln(e)+(3*x*0)/e))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*e^(3*x)*((3*x*0)/e+3*ln(e)))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*e^((3)'*x+3*(x)'))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*e^(0*x+3*(x)'))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*e^(0*x+3*1))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*0^(3*x))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(18*e^(3*x)-18*e^(3*x)+18*x*3*e^(3*x))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*(sin(x))'+(-(6*x*e^(3*x)*cos(x)))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-(18*x*e^(3*x)))*cos(x)+(-(6*x*e^(3*x)*cos(x)))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*x*e^(3*x))'*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+((6*x)'*e^(3*x)+6*x*(e^(3*x))')*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(((6)'*x+6*(x)')*e^(3*x)+6*x*(e^(3*x))')*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+((0*x+6*(x)')*e^(3*x)+6*x*(e^(3*x))')*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+((0*x+6*1)*e^(3*x)+6*x*(e^(3*x))')*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*(e^(3*x))')*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*e^(3*x)*((3*x)'*ln(e)+(3*x*(e)')/e))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*e^(3*x)*((3*x)'*ln(e)+(3*x*0)/e))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*e^(3*x)*(((3)'*x+3*(x)')*ln(e)+(3*x*0)/e))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*e^(3*x)*((0*x+3*(x)')*ln(e)+(3*x*0)/e))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*e^(3*x)*((0*x+3*1)*ln(e)+(3*x*0)/e))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*e^(3*x)*((3*x*0)/e+3*ln(e)))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*e^((3)'*x+3*(x)'))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*e^(0*x+3*(x)'))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*e^(0*x+3*1))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*0^(3*x))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+6*x*3*e^(3*x))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+18*x*e^(3*x))*cos(x)+6*x*e^(3*x)*(cos(x))'

(-36*e^(3*x)-54*x*e^(3*x))*sin(x)+(-6*e^(3*x)-18*x*e^(3*x))*cos(x)+(6*e^(3*x)+18*x*e^(3*x))*cos(x)+6*x*e^(3*x)*(-sin(x))

(-6*e^(3*x)-(18*x*e^(3*x)))*cos(x)-((6*e^(3*x)+18*x*e^(3*x))*cos(x))+(-36*e^(3*x)-(54*x*e^(3*x)))*sin(x)+6*x*e^(3*x)*sin(x)

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

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