Mister Exam

Derivative of 1/x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
1
-
x
1x\frac{1}{x}
1/x
Detail solution
  1. Apply the power rule: 1x\frac{1}{x} goes to 1x2- \frac{1}{x^{2}}


The answer is:

1x2- \frac{1}{x^{2}}

The graph
02468-8-6-4-2-1010-200100
The first derivative [src]
-1 
---
  2
 x 
1x2- \frac{1}{x^{2}}
The second derivative [src]
2 
--
 3
x 
2x3\frac{2}{x^{3}}
The third derivative [src]
-6 
---
  4
 x 
6x4- \frac{6}{x^{4}}
The graph
Derivative of 1/x