Derivative of 4*x^7

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   7
4*x

$$4 x^{7}$$

4*x^7

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $x^{7}$ goes to $7 x^{6}$
So, the result is: $28 x^{6}$

The answer is:

$28 x^{6}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

    6
28*x

$$28 x^{6}$$

Simplify

The second derivative [src]

     5
168*x

$$168 x^{5}$$

Simplify

6-я производная [src]

20160*x

$$20160 x$$

Simplify

The third derivative [src]

     4
840*x

$$840 x^{4}$$

Simplify