Derivative of ln(sin(10x))

Derivative of ln(sin(10x)). 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(10x)): 


(ln(sin(10*x)))'

(1/sin(10*x))*(sin(10*x))'

(1/sin(10*x))*cos(10*x)*(10*x)'

(1/sin(10*x))*cos(10*x)*((10)'*x+10*(x)')

(1/sin(10*x))*cos(10*x)*(0*x+10*(x)')

(1/sin(10*x))*cos(10*x)*(0*x+10*1)

10*(1/sin(10*x))*cos(10*x)

(10*cos(10*x))/sin(10*x)

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

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