What is the solution for derivative of f(x)=x^{(-11)/(12)} ?

The solution for derivative of f(x)=x^{(-11)/(12)} is f(x)=12x^{1/12}+c_{1}

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derivative of f(x)=x^{(-11)/(12)}

\frac{d}{d x} f (x) = x^{\frac{- 11}{12}}

f (x) = 12 x^{\frac{1}{12}} + c_{1}

Solution steps

\frac{df}{d x} = x^{\frac{- 11}{12}}

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

f (x) = \int x^{\frac{- 11}{12}} d x

\int x^{\frac{- 11}{12}} d x = 12 x^{\frac{1}{12}} + c_{1}

f (x) = 12 x^{\frac{1}{12}} + c_{1}

What is the solution for derivative of f(x)=x^{(-11)/(12)} ?
The solution for derivative of f(x)=x^{(-11)/(12)} is f(x)=12x^{1/12}+c_{1}