What is the derivative of x^{9/5} ?

The derivative of x^{9/5} is (9x^{4/5})/5

What is the first derivative of x^{9/5} ?

The first derivative of x^{9/5} is (9x^{4/5})/5

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derivative of

x^{\frac{9}{5}}

\frac{9 x ^{\frac{4}{5}}}{5}

Solution steps

\frac{d}{d x} (x^{\frac{9}{5}})

Apply the Power Rule:

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

= \frac{9}{5} x^{\frac{9}{5} - 1}

Simplify

\frac{9}{5} x^{\frac{9}{5} - 1} : \frac{9 x ^{\frac{4}{5}}}{5}

= \frac{9 x ^{\frac{4}{5}}}{5}

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What is the derivative of x^{9/5} ?
The derivative of x^{9/5} is (9x^{4/5})/5
What is the first derivative of x^{9/5} ?
The first derivative of x^{9/5} is (9x^{4/5})/5