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(e^cos(5*x))'The calculation above is a derivative of the function f (x)

e^cos(5*x)*((cos(5*x))'*ln(e)+(cos(5*x)*(e)')/e)

e^cos(5*x)*((cos(5*x))'*ln(e)+(cos(5*x)*0)/e)

e^cos(5*x)*((cos(5*x)*0)/e-sin(5*x)*(5*x)'*ln(e))

e^cos(5*x)*((cos(5*x)*0)/e-sin(5*x)*((5)'*x+5*(x)')*ln(e))

e^cos(5*x)*((cos(5*x)*0)/e-sin(5*x)*(0*x+5*(x)')*ln(e))

e^cos(5*x)*((cos(5*x)*0)/e-sin(5*x)*(0*x+5*1)*ln(e))

e^cos(5*x)*(5*(-sin(5*x))*ln(e)+(cos(5*x)*0)/e)

e^cos(5*x)*((cos(5*x)*0)/e-5*sin(5*x)*ln(e))

e^(-sin(5*x)*(5*x)')

e^(-sin(5*x)*((5)'*x+5*(x)'))

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

e^(-sin(5*x)*(0*x+5*1))

e^(5*(-sin(5*x)))

0^cos(5*x)

-5*e^cos(5*x)*sin(5*x)

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