Derivative of cos(3*pi*x)/x

Derivative of cos(3*pi*x)/x. 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(3*pi*x)/x: 


(cos(3*pi*x)/x)'

((cos(3*pi*x))'*x-(cos(3*pi*x)*(x)'))/(x^2)

(-sin(3*pi*x)*(3*pi*x)'*x-(cos(3*pi*x)*(x)'))/(x^2)

(-sin(3*pi*x)*((3*pi)'*x+3*pi*(x)')*x-(cos(3*pi*x)*(x)'))/(x^2)

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

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

(3*pi*(-sin(3*pi*x))*x-(cos(3*pi*x)*(x)'))/(x^2)

(-3*pi*sin(3*pi*x)*x-(cos(3*pi*x)*(x)'))/(x^2)

(-3*pi*sin(3*pi*x)*x-(cos(3*pi*x)*1))/(x^2)

(-3*pi*x*sin(3*pi*x)-cos(3*pi*x))/(x^2)

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

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