Derivative of 3tan(x/3)

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


(3*tan(x/3))'

(3)'*tan(x/3)+3*(tan(x/3))'

0*tan(x/3)+3*(tan(x/3))'

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

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

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

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

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

1/((cos(x/3))^2)

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

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