Mister Exam

Derivative of 3/x^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
3 
--
 2
x 
$$\frac{3}{x^{2}}$$
3/x^2
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Let .

    2. Apply the power rule: goes to

    3. Then, apply the chain rule. Multiply by :

      1. Apply the power rule: goes to

      The result of the chain rule is:

    So, the result is:


The answer is:

The graph
The first derivative [src]
-6 
---
  3
 x 
$$- \frac{6}{x^{3}}$$
The second derivative [src]
18
--
 4
x 
$$\frac{18}{x^{4}}$$
The third derivative [src]
-72 
----
  5 
 x  
$$- \frac{72}{x^{5}}$$
The graph
Derivative of 3/x^2