Mister Exam

Derivative of x^(-2)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
1 
--
 2
x 
$$\frac{1}{x^{2}}$$
d /1 \
--|--|
dx| 2|
  \x /
$$\frac{d}{d x} \frac{1}{x^{2}}$$
Detail solution
  1. Apply the power rule: goes to


The answer is:

The graph
The first derivative [src]
-2 
---
  3
 x 
$$- \frac{2}{x^{3}}$$
The second derivative [src]
6 
--
 4
x 
$$\frac{6}{x^{4}}$$
The third derivative [src]
-24 
----
  5 
 x  
$$- \frac{24}{x^{5}}$$
The graph
Derivative of x^(-2)