Derivative of 5x^7

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   7
5*x

$$5 x^{7}$$

d /   7\
--\5*x /
dx

$$\frac{d}{d x} 5 x^{7}$$

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: $x^{7}$ goes to $7 x^{6}$
So, the result is: $35 x^{6}$

The answer is:

$35 x^{6}$

The graph

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The first derivative [src]

    6
35*x

$$35 x^{6}$$

Simplify

The second derivative [src]

     5
210*x

$$210 x^{5}$$

Simplify

The third derivative [src]

      4
1050*x

$$1050 x^{4}$$

Simplify

The graph