Derivative of sin(5/ln(x))

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


(sin(5/ln(x)))'

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

cos(5/ln(x))*(((5)'*ln(x)-(5*(ln(x))'))/((ln(x))^2))

cos(5/ln(x))*((0*ln(x)-(5*(ln(x))'))/((ln(x))^2))

cos(5/ln(x))*((0*ln(x)-(5*(1/x)))/((ln(x))^2))

cos(5/ln(x))*((-5*x^-1)/((ln(x))^2))

(-5*x^-1*cos(5/ln(x)))/((ln(x))^2)

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

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