Mister Exam

Other calculators

1/x
The derivative of the function/ 1/x

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
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-1 
---
  2
 x
−1x2- \frac{1}{x^{2}}
Simplify
The second derivative [src] 
2 
--
 3
x
2x3\frac{2}{x^{3}}
Simplify
The third derivative [src] 
-6 
---
  4
 x
−6x4- \frac{6}{x^{4}}
Simplify
The graph
Derivative of 1/x
    © Mister Exam – Calculator