Derivative of 5e^(-4.5x)sin(4(3.14x))

Derivative of 5e^(-4.5x)sin(4(3.14x)). 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 5e^(-4.5x)sin(4(3.14x)): 


(5*e^(-4.5*x)*sin(3.14*4*x))'

(5*e^(-4.5*x))'*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

((5)'*e^(-4.5*x)+5*(e^(-4.5*x))')*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*(e^(-4.5*x))')*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*e^(-4.5*x)*((-4.5*x)'*ln(e)+(-4.5*x*(e)')/e))*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*e^(-4.5*x)*((-4.5*x)'*ln(e)+(-4.5*x*0)/e))*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*e^(-4.5*x)*(((-4.5)'*x-4.5*(x)')*ln(e)+(-4.5*x*0)/e))*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*e^(-4.5*x)*((0*x-4.5*(x)')*ln(e)+(-4.5*x*0)/e))*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*e^(-4.5*x)*((0*x-4.5*1)*ln(e)+(-4.5*x*0)/e))*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*e^(-4.5*x)*((-4.5*x*0)/e-4.5*ln(e)))*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*e^((-4.5)'*x-4.5*(x)'))*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*e^(0*x-4.5*(x)'))*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*e^(0*x-4.5*1))*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*0^(-4.5*x))*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

(0*e^(-4.5*x)+5*-4.5*e^(-4.5*x))*sin(3.14*4*x)+5*e^(-4.5*x)*(sin(3.14*4*x))'

5*e^(-4.5*x)*(sin(3.14*4*x))'-22.5*e^(-4.5*x)*sin(3.14*4*x)

5*e^(-4.5*x)*cos(3.14*4*x)*(3.14*4*x)'-22.5*e^(-4.5*x)*sin(3.14*4*x)

5*e^(-4.5*x)*cos(3.14*4*x)*((3.14*4)'*x+3.14*4*(x)')-22.5*e^(-4.5*x)*sin(3.14*4*x)

5*e^(-4.5*x)*cos(3.14*4*x)*(0*x+3.14*4*(x)')-22.5*e^(-4.5*x)*sin(3.14*4*x)

5*e^(-4.5*x)*cos(3.14*4*x)*(0*x+3.14*4*1)-22.5*e^(-4.5*x)*sin(3.14*4*x)

5*e^(-4.5*x)*12.56*cos(3.14*4*x)-22.5*e^(-4.5*x)*sin(3.14*4*x)

5*e^(-4.5*x)*12.56*cos(12.56*x)-22.5*e^(-4.5*x)*sin(3.14*4*x)

62.8*e^(-4.5*x)*cos(12.56*x)-(22.5*e^(-4.5*x)*sin(12.56*x))

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

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