Derivative of tan(x)sin(4x)

Derivative of tan(x)sin(4x). 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)sin(4x): 


(tan(x)*sin(4*x))'

(tan(x))'*sin(4*x)+tan(x)*(sin(4*x))'

(1/((cos(x))^2))*sin(4*x)+tan(x)*(sin(4*x))'

(1/((cos(x))^2))*sin(4*x)+tan(x)*cos(4*x)*(4*x)'

(1/((cos(x))^2))*sin(4*x)+tan(x)*cos(4*x)*((4)'*x+4*(x)')

(1/((cos(x))^2))*sin(4*x)+tan(x)*cos(4*x)*(0*x+4*(x)')

(1/((cos(x))^2))*sin(4*x)+tan(x)*cos(4*x)*(0*x+4*1)

(1/((cos(x))^2))*sin(4*x)+tan(x)*4*cos(4*x)

sin(4*x)/((cos(x))^2)+4*tan(x)*cos(4*x)

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

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