What is the derivative of sqrt(4x^3) ?

The derivative of sqrt(4x^3) is 3sqrt(x)

What is the first derivative of sqrt(4x^3) ?

The first derivative of sqrt(4x^3) is 3sqrt(x)

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\frac{d}{d x} (4 x^{3})

3 x

Solution steps

\frac{d}{d x} (4 x^{3})

Apply the chain rule:

\frac{1}{2 4 x ^{3}} \frac{d}{d x} (4 x^{3})

= \frac{1}{2 4 x ^{3}} \frac{d}{d x} (4 x^{3})

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

= \frac{1}{2 4 x ^{3}} \cdot 12 x^{2}

Simplify

\frac{1}{2 4 x ^{3}} \cdot 12 x^{2} : 3 x

= 3 x

\frac{d}{d x} (x + x^{- 1})

x \to + 0 lim (\frac{3 x}{x e ^{x}})

\frac{\partial}{\partial y} (x^{3} y - y^{4})

\frac{d}{d x} (arcsin (9 x^{4}))

y^{^{''}} = 2 t^{2}

What is the derivative of sqrt(4x^3) ?
The derivative of sqrt(4x^3) is 3sqrt(x)
What is the first derivative of sqrt(4x^3) ?
The first derivative of sqrt(4x^3) is 3sqrt(x)