Derivative of sin(ln(2x))

Derivative of sin(ln(2x)). 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 sin(ln(2x)):


(sin(ln(2*x)))'

cos(ln(2*x))*(ln(2*x))'

(1/(2*x))*cos(ln(2*x))*(2*x)'

(1/(2*x))*cos(ln(2*x))*((2)'*x+2*(x)')

(1/(2*x))*cos(ln(2*x))*(0*x+2*(x)')

(1/(2*x))*cos(ln(2*x))*(0*x+2*1)

x^-1*cos(ln(2*x))

x^-1*cos(ln(2*x))

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

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