Derivative of ln(r*sin(x))

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


(ln(r*sin(x)))'

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

(1/(r*sin(x)))*((r)'*sin(x)+r*(sin(x))')

(1/(r*sin(x)))*(0*sin(x)+r*(sin(x))')

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

(sin(x))^-1*cos(x)

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

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