Derivative of ln(sin(7x))

Derivative of ln(sin(7x)). 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(7x)): 


(ln(sin(7*x)))'

(1/sin(7*x))*(sin(7*x))'

(1/sin(7*x))*cos(7*x)*(7*x)'

(1/sin(7*x))*cos(7*x)*((7)'*x+7*(x)')

(1/sin(7*x))*cos(7*x)*(0*x+7*(x)')

(1/sin(7*x))*cos(7*x)*(0*x+7*1)

7*(1/sin(7*x))*cos(7*x)

(7*cos(7*x))/sin(7*x)

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

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