What is the derivative of (x^{3/2}^2) ?

The derivative of (x^{3/2}^2) is 3x^2

What is the first derivative of (x^{3/2}^2) ?

The first derivative of (x^{3/2}^2) is 3x^2

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\frac{d}{d x} ((x^{\frac{3}{2}})^{2})

3 x^{2}

Solution steps

\frac{d}{d x} ((x^{\frac{3}{2}})^{2})

Simplify

(x^{\frac{3}{2}})^{2} : x^{3}

= \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= 3 x^{3 - 1}

Simplify

= 3 x^{2}

\int \frac{x ^{2} - 5 x + 16}{( 2 x + 1 ) ( x - 2 ) ^{2}} d x

\frac{\partial}{\partial y} (e^{x} y)

\frac{x d y}{d x} + y = \frac{1}{y ^{2}}

f (x) = \frac{x ^{2}}{x + 4}, at x = 2

What is the derivative of (x^{3/2}^2) ?
The derivative of (x^{3/2}^2) is 3x^2
What is the first derivative of (x^{3/2}^2) ?
The first derivative of (x^{3/2}^2) is 3x^2