Derivative of tan(X)/tan(5x)

Derivative of tan(X)/tan(5x). 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)/tan(5x):


(tan(X)/tan(5*x))'

((tan(X))'*tan(5*x)-(tan(X)*(tan(5*x))'))/((tan(5*x))^2)

(0*tan(5*x)-(tan(X)*(tan(5*x))'))/((tan(5*x))^2)

(0*tan(5*x)-(tan(X)*((5*x)'/((cos(5*x))^2))))/((tan(5*x))^2)

(0*tan(5*x)-(tan(X)*(((5)'*x+5*(x)')/((cos(5*x))^2))))/((tan(5*x))^2)

(0*tan(5*x)-(tan(X)*((0*x+5*(x)')/((cos(5*x))^2))))/((tan(5*x))^2)

(0*tan(5*x)-(tan(X)*((0*x+5*1)/((cos(5*x))^2))))/((tan(5*x))^2)

(0*tan(5*x)-(tan(X)*(5/((cos(5*x))^2))))/((tan(5*x))^2)

(-5*tan(X)*(cos(5*x))^-2)/((tan(5*x))^2)

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

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