Mister Exam

Derivative of 5/x

Find the derivative of f(x) = 5 divided by x at x = -1. (1 point)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
5
-
x
$$\frac{5}{x}$$
5/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]
-5 
---
  2
 x 
$$- \frac{5}{x^{2}}$$
The second derivative [src]
10
--
 3
x 
$$\frac{10}{x^{3}}$$
The third derivative [src]
-30 
----
  4 
 x  
$$- \frac{30}{x^{4}}$$
The graph
Derivative of 5/x