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

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

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

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

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

\frac{3 x}{2}

Solution steps

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

Apply the chain rule:

\frac{1}{2 2 x ^{3}} \frac{d}{d x} (2 x^{3})

= \frac{1}{2 2 x ^{3}} \frac{d}{d x} (2 x^{3})

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

= \frac{1}{2 2 x ^{3}} \cdot 6 x^{2}

Simplify

\frac{1}{2 2 x ^{3}} \cdot 6 x^{2} : \frac{3 x}{2}

= \frac{3 x}{2}

\int (e^{x^{3}}) d x

\frac{d}{d x} (\frac{10}{3 x ^{3}})

\frac{\partial}{\partial x} (y \cdot arcsin (\frac{x}{y}))

\frac{d}{d x} (sin^{2} (3 x) + cos (5 x^{2}))

\int_{0}^{\infty} e^{- 2 t} d t

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