What is the derivative of y=x^{15/16} ?

The derivative of y=x^{15/16} is (15)/(16x^{1/16)}

What is the first derivative of y=x^{15/16} ?

The first derivative of y=x^{15/16} is (15)/(16x^{1/16)}

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derivative of

y = x^{\frac{15}{16}}

\frac{15}{16 x ^{\frac{1}{16}}}

Solution steps

\frac{d}{d x} (x^{\frac{15}{16}})

Apply the Power Rule:

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

= \frac{15}{16} x^{\frac{15}{16} - 1}

Simplify

\frac{15}{16} x^{\frac{15}{16} - 1} : \frac{15}{16 x ^{\frac{1}{16}}}

= \frac{15}{16 x ^{\frac{1}{16}}}

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What is the derivative of y=x^{15/16} ?
The derivative of y=x^{15/16} is (15)/(16x^{1/16)}
What is the first derivative of y=x^{15/16} ?
The first derivative of y=x^{15/16} is (15)/(16x^{1/16)}