Derivative of sin(5ln(x))

Derivative of sin(5ln(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 sin(5ln(x)): 


(sin(5*ln(x)))'

cos(5*ln(x))*(5*ln(x))'

cos(5*ln(x))*((5)'*ln(x)+5*(ln(x))')

cos(5*ln(x))*(0*ln(x)+5*(ln(x))')

cos(5*ln(x))*(0*ln(x)+5*(1/x))

(5/x)*cos(5*ln(x))

(5*cos(5*ln(x)))/x

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

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