Derivative of sin(tan(3x))

Derivative of sin(tan(3x)). 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(3x)):


(sin(tan(3*x)))'

cos(tan(3*x))*(tan(3*x))'

cos(tan(3*x))*((3*x)'/((cos(3*x))^2))

cos(tan(3*x))*(((3)'*x+3*(x)')/((cos(3*x))^2))

cos(tan(3*x))*((0*x+3*(x)')/((cos(3*x))^2))

cos(tan(3*x))*((0*x+3*1)/((cos(3*x))^2))

cos(tan(3*x))*(3/((cos(3*x))^2))

(3*cos(tan(3*x)))/((cos(3*x))^2)

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

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