Derivative of 7/x

Find the derivative of f(x) = 7 divided by x at x = 1.

You have entered [src]

7
-
x

$$\frac{7}{x}$$

7/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: $- \frac{7}{x^{2}}$

The answer is:

$- \frac{7}{x^{2}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-7 
---
  2
 x

$$- \frac{7}{x^{2}}$$

Simplify

The second derivative [src]

14
--
 3
x

$$\frac{14}{x^{3}}$$

Simplify

The third derivative [src]

-42 
----
  4 
 x

$$- \frac{42}{x^{4}}$$

Simplify

The graph