What is the derivative of x^{5/4} ?

The derivative of x^{5/4} is (5x^{1/4})/4

What is the first derivative of x^{5/4} ?

The first derivative of x^{5/4} is (5x^{1/4})/4

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derivative of

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

\frac{5 x ^{\frac{1}{4}}}{4}

Solution steps

\frac{d}{d x} (x^{\frac{5}{4}})

Apply the Power Rule:

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

= \frac{5}{4} x^{\frac{5}{4} - 1}

Simplify

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

= \frac{5 x ^{\frac{1}{4}}}{4}

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\int_{4}^{8} \frac{x}{x ^{2} + 6 x + 13} d x

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What is the derivative of x^{5/4} ?
The derivative of x^{5/4} is (5x^{1/4})/4
What is the first derivative of x^{5/4} ?
The first derivative of x^{5/4} is (5x^{1/4})/4