Derivative of cos(ln(4x))

Derivative of cos(ln(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(ln(4x)):


(cos(ln(4*x)))'

-sin(ln(4*x))*(ln(4*x))'

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

(1/(4*x))*(-sin(ln(4*x)))*((4)'*x+4*(x)')

(1/(4*x))*(-sin(ln(4*x)))*(0*x+4*(x)')

(1/(4*x))*(-sin(ln(4*x)))*(0*x+4*1)

x^-1*(-sin(ln(4*x)))

-(x^-1*sin(ln(4*x)))

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

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