Derivative of 2/3tan(3x)

Derivative of 2/3tan(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 2/3tan(3x): 


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

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

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

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

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

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

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

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

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

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

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