Derivative of (cos(4x))/(1-sin(4x))

Derivative of (cos(4x))/(1-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 (cos(4x))/(1-sin(4x)):


(cos(4*x)/(1-sin(4*x)))'

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

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

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

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

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

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

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

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

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

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

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

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

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

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

(-4*sin(4*x)*(1-sin(4*x))-(cos(4*x)*-4*cos(4*x)))/((1-sin(4*x))^2)

(4*(cos(4*x))^2-(4*sin(4*x)*(1-sin(4*x))))/((1-sin(4*x))^2)

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

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