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

The derivative of (16x^3) is 12288x^2

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

The first derivative of (16x^3) is 12288x^2

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

12288 x^{2}

Solution steps

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

Simplify

(16 x)^{3} : 4096 x^{3}

= \frac{d}{d x} (4096 x^{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4096 \frac{d}{d x} (x^{3})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 4096 \cdot 3 x^{3 - 1}

Simplify

= 12288 x^{2}

f (x) = - 2 sin (2 x)

\int x^{4} - 2 x^{2} + 1 d x

\int (8 x - 9) d x

\int \frac{2 - 3 x ^{2}}{5 x ^{3} - 10 x + 5} d x

\frac{\partial}{\partial x} (x^{2} y e^{\frac{y}{z}})

What is the derivative of (16x^3) ?
The derivative of (16x^3) is 12288x^2
What is the first derivative of (16x^3) ?
The first derivative of (16x^3) is 12288x^2