Derivative of -4x^3

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    3
-4*x

$$- 4 x^{3}$$

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

$$\frac{d}{d x} \left(- 4 x^{3}\right)$$

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

$$-24$$

Simplify

The graph