Mister Exam

Derivative of 3/x^5

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
3 
--
 5
x 
$$\frac{3}{x^{5}}$$
3/x^5
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]
-15 
----
  6 
 x  
$$- \frac{15}{x^{6}}$$
The second derivative [src]
90
--
 7
x 
$$\frac{90}{x^{7}}$$
The third derivative [src]
-630 
-----
   8 
  x  
$$- \frac{630}{x^{8}}$$
The graph
Derivative of 3/x^5