What is the derivative of sqrt(16x^3) ?

The derivative of sqrt(16x^3) is 6sqrt(x)

What is the first derivative of sqrt(16x^3) ?

The first derivative of sqrt(16x^3) is 6sqrt(x)

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\frac{d}{d x} (16 x^{3})

6 x

Solution steps

\frac{d}{d x} (16 x^{3})

Apply the chain rule:

\frac{1}{2 16 x ^{3}} \frac{d}{d x} (16 x^{3})

= \frac{1}{2 16 x ^{3}} \frac{d}{d x} (16 x^{3})

\frac{d}{d x} (16 x^{3}) = 48 x^{2}

= \frac{1}{2 16 x ^{3}} \cdot 48 x^{2}

Simplify

\frac{1}{2 16 x ^{3}} \cdot 48 x^{2} : 6 x

= 6 x

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

\frac{d y}{d x} = y - 5

\frac{d}{d x} (\frac{lo g _{2} ( x )}{x})

\frac{x ^{2}}{x - 4}

y = x^{2} + 3, (- 2, 7)

What is the derivative of sqrt(16x^3) ?
The derivative of sqrt(16x^3) is 6sqrt(x)
What is the first derivative of sqrt(16x^3) ?
The first derivative of sqrt(16x^3) is 6sqrt(x)