Derivative of tan(x/12)^4

Derivative of tan(x/12)^4. 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 tan(x/12)^4: 


((tan(x/12))^4)'

4*(tan(x/12))^(4-1)*(tan(x/12))'

4*(tan(x/12))^(4-1)*((x/12)'/((cos(x/12))^2))

4*(tan(x/12))^(4-1)*((((x)'*12-(x*(12)'))/(12^2))/((cos(x/12))^2))

4*(tan(x/12))^(4-1)*(((1*12-(x*(12)'))/(12^2))/((cos(x/12))^2))

4*(tan(x/12))^(4-1)*(((1*12-(x*0))/(12^2))/((cos(x/12))^2))

4*(tan(x/12))^(4-1)*(1/12/((cos(x/12))^2))

((1/3)*(tan(x/12))^3)/((cos(x/12))^2)

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

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