Derivative of 5/x

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

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5
-
x

$$\frac{5}{x}$$

5/x

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. Apply the power rule: $\frac{1}{x}$ goes to $- \frac{1}{x^{2}}$
So, the result is: $- \frac{5}{x^{2}}$

The answer is:

$- \frac{5}{x^{2}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-5 
---
  2
 x

$$- \frac{5}{x^{2}}$$

Simplify

The second derivative [src]

10
--
 3
x

$$\frac{10}{x^{3}}$$

Simplify

The third derivative [src]

-30 
----
  4 
 x

$$- \frac{30}{x^{4}}$$

Simplify

The graph