Derivative of -5x^2

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    2
-5*x

$$- 5 x^{2}$$

-5*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: $- 10 x$

The answer is:

$- 10 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-10*x

$$- 10 x$$

Simplify

The second derivative [src]

-10

$$-10$$

Simplify

The third derivative [src]

$$0$$

Simplify