What is the derivative of x^{0.15} ?

The derivative of x^{0.15} is (0.15)/(x^{0.85)}

What is the first derivative of x^{0.15} ?

The first derivative of x^{0.15} is (0.15)/(x^{0.85)}

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\frac{d}{d x} (x^{0.15})

\frac{0.15}{x ^{0.85}}

Solution steps

\frac{d}{d x} (x^{0.15})

Apply the Power Rule:

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

= 0.15 x^{0.15 - 1}

Simplify

0.15 x^{0.15 - 1} : \frac{0.15}{x ^{0.85}}

= \frac{0.15}{x ^{0.85}}

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What is the derivative of x^{0.15} ?
The derivative of x^{0.15} is (0.15)/(x^{0.85)}
What is the first derivative of x^{0.15} ?
The first derivative of x^{0.15} is (0.15)/(x^{0.85)}