Derivative of (ln(sin(3*x)))

Derivative of (ln(sin(3*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(sin(3*x))): 


(ln(sin(3*x)))'

(1/sin(3*x))*(sin(3*x))'

(1/sin(3*x))*cos(3*x)*(3*x)'

(1/sin(3*x))*cos(3*x)*((3)'*x+3*(x)')

(1/sin(3*x))*cos(3*x)*(0*x+3*(x)')

(1/sin(3*x))*cos(3*x)*(0*x+3*1)

3*(1/sin(3*x))*cos(3*x)

(3*cos(3*x))/sin(3*x)

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

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