Mister Exam

Derivative of 1/x^5

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
1 
--
 5
x 
$$\frac{1}{x^{5}}$$
1/(x^5)
Detail solution
  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:


The answer is:

The graph
The first derivative [src]
-5  
----
   5
x*x 
$$- \frac{5}{x x^{5}}$$
The second derivative [src]
30
--
 7
x 
$$\frac{30}{x^{7}}$$
The third derivative [src]
-210 
-----
   8 
  x  
$$- \frac{210}{x^{8}}$$
The graph
Derivative of 1/x^5