Derivative of 5x^6

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   6
5*x

$$5 x^{6}$$

d /   6\
--\5*x /
dx

$$\frac{d}{d x} 5 x^{6}$$

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: $x^{6}$ goes to $6 x^{5}$
So, the result is: $30 x^{5}$

The answer is:

$30 x^{5}$

The graph

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The first derivative [src]

    5
30*x

$$30 x^{5}$$

Simplify

The second derivative [src]

     4
150*x

$$150 x^{4}$$

Simplify

The third derivative [src]

     3
600*x

$$600 x^{3}$$

Simplify

The graph