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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derivative of

x^{3}

\frac{3 x}{2}

Solution steps

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

Apply radical rule:

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

x \to 1 lim (\frac{x ^{4} - 1}{x ^{2}})

f (x) = (2 x^{2} - 4)^{- 1}

x \to 8 - lim (\frac{x}{x ^{2} - 64})

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

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