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 
$$- \frac{1}{x}$$
d /-1 \
--|---|
dx\ x /
$$\frac{d}{d x} \left(- \frac{1}{x}\right)$$
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: goes to

    So, the result is:


The answer is:

The graph
The first derivative [src]
1 
--
 2
x 
$$\frac{1}{x^{2}}$$
The second derivative [src]
-2 
---
  3
 x 
$$- \frac{2}{x^{3}}$$
The third derivative [src]
6 
--
 4
x 
$$\frac{6}{x^{4}}$$
The graph
Derivative of -1/x