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 
1x2\frac{1}{x^{2}}
d /1 \
--|--|
dx| 2|
  \x /
ddx1x2\frac{d}{d x} \frac{1}{x^{2}}
Detail solution
  1. Apply the power rule: 1x2\frac{1}{x^{2}} goes to 2x3- \frac{2}{x^{3}}


The answer is:

2x3- \frac{2}{x^{3}}

The graph
02468-8-6-4-2-1010-50005000
The first derivative [src]
-2 
---
  3
 x 
2x3- \frac{2}{x^{3}}
The second derivative [src]
6 
--
 4
x 
6x4\frac{6}{x^{4}}
The third derivative [src]
-24 
----
  5 
 x  
24x5- \frac{24}{x^{5}}
The graph
Derivative of x^(-2)