Mister Exam

Derivative of 20/x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
20
--
x 
$$\frac{20}{x}$$
20/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: goes to

    So, the result is:


The answer is:

The graph
The first derivative [src]
-20 
----
  2 
 x  
$$- \frac{20}{x^{2}}$$
The second derivative [src]
40
--
 3
x 
$$\frac{40}{x^{3}}$$
The third derivative [src]
-120 
-----
   4 
  x  
$$- \frac{120}{x^{4}}$$
The graph
Derivative of 20/x