Derivative of 1+1/x

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    1
1 + -
    x

$$1 + \frac{1}{x}$$

1 + 1/x

Detail solution

Differentiate $1 + \frac{1}{x}$ term by term:
1. The derivative of the constant $1$ is zero.
2. Apply the power rule: $\frac{1}{x}$ goes to $- \frac{1}{x^{2}}$
The result is: $- \frac{1}{x^{2}}$

The answer is:

$- \frac{1}{x^{2}}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-1 
---
  2
 x

$$- \frac{1}{x^{2}}$$

Simplify

The second derivative [src]

2 
--
 3
x

$$\frac{2}{x^{3}}$$

Simplify

The third derivative [src]

-6 
---
  4
 x

$$- \frac{6}{x^{4}}$$

Simplify

The graph