Derivative of e^(-4x)cos(x)

Derivative of e^(-4x)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 e^(-4x)cos(x): 


(e^(-4*x)*cos(x))'

(e^(-4*x))'*cos(x)+e^(-4*x)*(cos(x))'

e^(-4*x)*((-4*x)'*ln(e)+(-4*x*(e)')/e)*cos(x)+e^(-4*x)*(cos(x))'

e^(-4*x)*((-4*x)'*ln(e)+(-4*x*0)/e)*cos(x)+e^(-4*x)*(cos(x))'

e^(-4*x)*(((-4)'*x-4*(x)')*ln(e)+(-4*x*0)/e)*cos(x)+e^(-4*x)*(cos(x))'

e^(-4*x)*((0*x-4*(x)')*ln(e)+(-4*x*0)/e)*cos(x)+e^(-4*x)*(cos(x))'

e^(-4*x)*((0*x-4*1)*ln(e)+(-4*x*0)/e)*cos(x)+e^(-4*x)*(cos(x))'

e^(-4*x)*((-4*x*0)/e-4*ln(e))*cos(x)+e^(-4*x)*(cos(x))'

e^((-4)'*x-4*(x)')*cos(x)+e^(-4*x)*(cos(x))'

e^(0*x-4*(x)')*cos(x)+e^(-4*x)*(cos(x))'

e^(0*x-4*1)*cos(x)+e^(-4*x)*(cos(x))'

0^(-4*x)*cos(x)+e^(-4*x)*(cos(x))'

e^(-4*x)*(cos(x))'-4*e^(-4*x)*cos(x)

e^(-4*x)*(-sin(x))-4*e^(-4*x)*cos(x)

-4*e^(-4*x)*cos(x)-(e^(-4*x)*sin(x))

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

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