Derivative of -4x^2

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    2
-4*x

$$- 4 x^{2}$$

-4*x^2

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $x^{2}$ goes to $2 x$
So, the result is: $- 8 x$

The answer is:

$- 8 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-8*x

$$- 8 x$$

Simplify

The second derivative [src]

-8

$$-8$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph