Mister Exam

Derivative of -3/x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
-3 
---
 x 
3x- \frac{3}{x}
-3/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: 3x2\frac{3}{x^{2}}


The answer is:

3x2\frac{3}{x^{2}}

The graph
02468-8-6-4-2-1010-500500
The first derivative [src]
3 
--
 2
x 
3x2\frac{3}{x^{2}}
The second derivative [src]
-6 
---
  3
 x 
6x3- \frac{6}{x^{3}}
The third derivative [src]
18
--
 4
x 
18x4\frac{18}{x^{4}}
The graph
Derivative of -3/x