Derivative of 5ln(cos(x))

Derivative of 5ln(cos(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 5ln(cos(x)): 


(5*ln(cos(x)))'

(5)'*ln(cos(x))+5*(ln(cos(x)))'

0*ln(cos(x))+5*(ln(cos(x)))'

0*ln(cos(x))+5*(1/cos(x))*(cos(x))'

0*ln(cos(x))+5*(1/cos(x))*(-sin(x))

0*ln(cos(x))+5*(-((cos(x))^-1*sin(x)))

-5*(cos(x))^-1*sin(x)

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

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