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1-1/x
The derivative of the function/ 1-1/x

Derivative of 1-1/x

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
    1
1 - -
    x
$$1 - \frac{1}{x}$$ 
1 - 1/x
Detail solution

  1. Differentiate term by term:

    1. The derivative of the constant is zero.

    2. 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 result is:

The answer is:

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
Derivative of 1-1/x
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