What is the derivative of x^{9/4} ?

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

What is the first derivative of x^{9/4} ?

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

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\frac{d}{d x} (x^{\frac{9}{4}})

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

Solution steps

\frac{d}{d x} (x^{\frac{9}{4}})

Apply the Power Rule:

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

= \frac{9}{4} x^{\frac{9}{4} - 1}

Simplify

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

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

f (θ) = 11 θ

f (s) = \frac{s ^{2} + 1}{s ^{2} + 4}

\int_{1}^{4} x - (x - 2)^{2} d x

x \to 2 lim ((6 - x) - 2)

\frac{d}{d x} (\frac{90}{x ^{9}})

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