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

The derivative of (2x^3) is 24x^2

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

The first derivative of (2x^3) is 24x^2

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

24 x^{2}

Solution steps

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

Simplify

(2 x)^{3} : 8 x^{3}

= \frac{d}{d x} (8 x^{3})

Take the constant out:

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

= 8 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= 8 \cdot 3 x^{3 - 1}

Simplify

= 24 x^{2}

x \to 0 lim ((x)^{3})

\frac{\partial}{\partial x} (3 sin (2 x) cos (6 y))

\frac{\partial}{\partial x} (ln (1 - x))

\int (1 + t) d t

\frac{1 + x}{1 - x}

What is the derivative of (2x^3) ?
The derivative of (2x^3) is 24x^2
What is the first derivative of (2x^3) ?
The first derivative of (2x^3) is 24x^2