Mister Exam

Derivative of 4/x^6

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
4 
--
 6
x 
$$\frac{4}{x^{6}}$$
d /4 \
--|--|
dx| 6|
  \x /
$$\frac{d}{d x} \frac{4}{x^{6}}$$
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]
-24 
----
  7 
 x  
$$- \frac{24}{x^{7}}$$
The second derivative [src]
168
---
  8
 x 
$$\frac{168}{x^{8}}$$
The third derivative [src]
-1344 
------
   9  
  x   
$$- \frac{1344}{x^{9}}$$
The graph
Derivative of 4/x^6