Derivative of 5x^4

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   4
5*x

$$5 x^{4}$$

d /   4\
--\5*x /
dx

$$\frac{d}{d x} 5 x^{4}$$

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: $x^{4}$ goes to $4 x^{3}$
So, the result is: $20 x^{3}$

The answer is:

$20 x^{3}$

The graph

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The first derivative [src]

    3
20*x

$$20 x^{3}$$

Simplify

The second derivative [src]

    2
60*x

$$60 x^{2}$$

Simplify

The third derivative [src]

120*x

$$120 x$$

Simplify

The graph