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x^(-2)
The derivative of the function/ x^(-2)

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}}
Transform
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
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-2 
---
  3
 x
−2x3- \frac{2}{x^{3}}
Simplify
The second derivative [src] 
6 
--
 4
x
6x4\frac{6}{x^{4}}
Simplify
The third derivative [src] 
-24 
----
  5 
 x
−24x5- \frac{24}{x^{5}}
Simplify
The graph
Derivative of x^(-2)
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