Derivative of ln(sin(x-9))

Derivative of ln(sin(x-9)). 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(x-9)): 


(ln(sin(x-9)))'

(1/sin(x-9))*(sin(x-9))'

(1/sin(x-9))*cos(x-9)*(x-9)'

(1/sin(x-9))*cos(x-9)*((x)'+(-9)')

((-9)'+1)*(1/sin(x-9))*cos(x-9)

(0+1)*(1/sin(x-9))*cos(x-9)

1*(1/sin(x-9))*cos(x-9)

cos(x-9)/sin(x-9)

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

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