Derivative of x*(ln(100-x))

Derivative of x*(ln(100-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 x*(ln(100-x)):


(x*ln(100-x))'

(x)'*ln(100-x)+x*(ln(100-x))'

1*ln(100-x)+x*(ln(100-x))'

1*ln(100-x)+x*(1/(100-x))*(100-x)'

1*ln(100-x)+x*(1/(100-x))*((-x)'+(100)')

1*ln(100-x)+x*((100)'-1)*(1/(100-x))

1*ln(100-x)+x*(0-1)*(1/(100-x))

1*ln(100-x)+x*(-(100-x)^-1)

ln(100-x)+x*(-(100-x)^-1)

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

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