What is the derivative of x^{9/2} ?

The derivative of x^{9/2} is (9x^{7/2})/2

What is the first derivative of x^{9/2} ?

The first derivative of x^{9/2} is (9x^{7/2})/2

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\frac{d}{d x} (x^{\frac{9}{2}})

\frac{9 x ^{\frac{7}{2}}}{2}

Solution steps

\frac{d}{d x} (x^{\frac{9}{2}})

Apply the Power Rule:

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

= \frac{9}{2} x^{\frac{9}{2} - 1}

Simplify

\frac{9}{2} x^{\frac{9}{2} - 1} : \frac{9 x ^{\frac{7}{2}}}{2}

= \frac{9 x ^{\frac{7}{2}}}{2}

\int \frac{u}{1 - u ^{2}} d u

2 x d y - 2 y d x = x^{2} + 4 y^{2} d x

\int \frac{x ^{2}}{25 + x ^{6}} d x

\frac{\partial}{\partial x} (e^{- 4 t} cos (π x))

y = \frac{x}{x + 4}, (1, 0.2)

What is the derivative of x^{9/2} ?
The derivative of x^{9/2} is (9x^{7/2})/2
What is the first derivative of x^{9/2} ?
The first derivative of x^{9/2} is (9x^{7/2})/2