Derivative of cos(ln(6x))

Derivative of cos(ln(6x)). 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(ln(6x)): 


(cos(ln(6*x)))'

-sin(ln(6*x))*(ln(6*x))'

(1/(6*x))*(-sin(ln(6*x)))*(6*x)'

(1/(6*x))*(-sin(ln(6*x)))*((6)'*x+6*(x)')

(1/(6*x))*(-sin(ln(6*x)))*(0*x+6*(x)')

(1/(6*x))*(-sin(ln(6*x)))*(0*x+6*1)

x^-1*(-sin(ln(6*x)))

-(x^-1*sin(ln(6*x)))

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

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