Derivative of ln(cos(pi/x))

Derivative of ln(cos(pi/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 ln(cos(pi/x)):


(ln(cos(pi/x)))'

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

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

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

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

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

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

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

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

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