Mister Exam

Derivative of 2/x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
2
-
x
2x\frac{2}{x}
2/x
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Apply the power rule: 1x\frac{1}{x} goes to 1x2- \frac{1}{x^{2}}

    So, the result is: 2x2- \frac{2}{x^{2}}


The answer is:

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

The graph
02468-8-6-4-2-1010-250250
The first derivative [src]
-2 
---
  2
 x 
2x2- \frac{2}{x^{2}}
The second derivative [src]
4 
--
 3
x 
4x3\frac{4}{x^{3}}
The third derivative [src]
-12 
----
  4 
 x  
12x4- \frac{12}{x^{4}}
The graph
Derivative of 2/x