What is the derivative of (sqrt(x)^3) ?

The derivative of (sqrt(x)^3) is (3sqrt(x))/2

What is the first derivative of (sqrt(x)^3) ?

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

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

\frac{3 x}{2}

Solution steps

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

Simplify

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

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

Apply the Power Rule:

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

= \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

\frac{3}{2} x^{\frac{3}{2} - 1} : \frac{3 x}{2}

= \frac{3 x}{2}

\int x^{7} x^{4} + 7 d x

\frac{4 x + 4}{3 x ^{\frac{2}{3}}}

\frac{d}{d x} (cos^{6} (3 x^{2} + 4))

3 sin (2)

3 x^{3} + 5 y^{3} = 1

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