What is the derivative of x^{11/12} ?

The derivative of x^{11/12} is (11)/(12x^{1/12)}

What is the first derivative of x^{11/12} ?

The first derivative of x^{11/12} is (11)/(12x^{1/12)}

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derivative of

x^{\frac{11}{12}}

\frac{11}{12 x ^{\frac{1}{12}}}

Solution steps

\frac{d}{d x} (x^{\frac{11}{12}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{11}{12} x^{\frac{11}{12} - 1}

Simplify

\frac{11}{12} x^{\frac{11}{12} - 1} : \frac{11}{12 x ^{\frac{1}{12}}}

= \frac{11}{12 x ^{\frac{1}{12}}}

What is the derivative of x^{11/12} ?
The derivative of x^{11/12} is (11)/(12x^{1/12)}
What is the first derivative of x^{11/12} ?
The first derivative of x^{11/12} is (11)/(12x^{1/12)}