Derivative of 4x^3

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   3
4*x

$$4 x^{3}$$

d /   3\
--\4*x /
dx

$$\frac{d}{d x} 4 x^{3}$$

Transform

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
So, the result is: $12 x^{2}$

The answer is:

$12 x^{2}$

The graph

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The first derivative [src]

    2
12*x

$$12 x^{2}$$

Simplify

The second derivative [src]

24*x

$$24 x$$

Simplify

The third derivative [src]

$$24$$

Simplify

The graph