Derivative of sin(tan(5x))

Derivative of sin(tan(5x)). 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(tan(5x)): 


(sin(tan(5*x)))'

cos(tan(5*x))*(tan(5*x))'

cos(tan(5*x))*((5*x)'/((cos(5*x))^2))

cos(tan(5*x))*(((5)'*x+5*(x)')/((cos(5*x))^2))

cos(tan(5*x))*((0*x+5*(x)')/((cos(5*x))^2))

cos(tan(5*x))*((0*x+5*1)/((cos(5*x))^2))

cos(tan(5*x))*(5/((cos(5*x))^2))

(5*cos(tan(5*x)))/((cos(5*x))^2)

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

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