What is the derivative of x^{0.2} ?

The derivative of x^{0.2} is (0.2)/(x^{0.8)}

What is the first derivative of x^{0.2} ?

The first derivative of x^{0.2} is (0.2)/(x^{0.8)}

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\frac{d}{d x} (x^{0.2})

\frac{0.2}{x ^{0.8}}

Solution steps

\frac{d}{d x} (x^{0.2})

Apply the Power Rule:

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

= 0.2 x^{0.2 - 1}

Simplify

0.2 x^{0.2 - 1} : \frac{0.2}{x ^{0.8}}

= \frac{0.2}{x ^{0.8}}

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What is the derivative of x^{0.2} ?
The derivative of x^{0.2} is (0.2)/(x^{0.8)}
What is the first derivative of x^{0.2} ?
The first derivative of x^{0.2} is (0.2)/(x^{0.8)}