Derivative of 1/x^10

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 1 
---
 10
x

\frac{1}{x^{10}}

1/(x^10)

Detail solution

Let $u = x^{10}$ .
Apply the power rule: $\frac{1}{u}$ goes to $- \frac{1}{u^{2}}$
Then, apply the chain rule. Multiply by $\frac{d}{d x} x^{10}$ :
1. Apply the power rule: $x^{10}$ goes to $10 x^{9}$
The result of the chain rule is:

$- \frac{10}{x^{11}}$

The answer is:

- \frac{10}{x^{11}}

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

 -10 
-----
   10
x*x

- \frac{10}{x x^{10}}

Simplify

The second derivative [src]

110
---
 12
x

\frac{110}{x^{12}}

Simplify

The third derivative [src]

-1320 
------
  13  
 x

- \frac{1320}{x^{13}}

Simplify

The graph