Derivative of e^(cos(ln(x)))

Derivative of e^(cos(ln(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^(cos(ln(x))): 


(e^cos(ln(x)))'

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

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

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

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

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

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

e^((1/x)*(-sin(ln(x))))

0^cos(ln(x))

x^-1*e^cos(ln(x))*sin(ln(x))

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

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