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

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

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

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

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derivative of

y = 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_{- 1}^{1} (y^{2} - 2) - (e^{y}) d y

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

x \to \infty lim (t^{x})

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

x \to - 5 lim (\frac{x + 1}{x + 5})

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