What is the derivative of x^{0.25} ?

The derivative of x^{0.25} is (0.25)/(x^{0.75)}

What is the first derivative of x^{0.25} ?

The first derivative of x^{0.25} is (0.25)/(x^{0.75)}

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\frac{d}{d x} (x^{0.25})

\frac{0.25}{x ^{0.75}}

Solution steps

\frac{d}{d x} (x^{0.25})

Apply the Power Rule:

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

= 0.25 x^{0.25 - 1}

Simplify

0.25 x^{0.25 - 1} : \frac{0.25}{x ^{0.75}}

= \frac{0.25}{x ^{0.75}}

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What is the derivative of x^{0.25} ?
The derivative of x^{0.25} is (0.25)/(x^{0.75)}
What is the first derivative of x^{0.25} ?
The first derivative of x^{0.25} is (0.25)/(x^{0.75)}