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x-2/x
The derivative of the function/ x-2/x

Derivative of x-2/x

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

The graph:

from to

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The solution

You have entered [src] 
    2
x - -
    x
x−2xx - \frac{2}{x} 
x - 2/x
Detail solution

  1. Differentiate x−2xx - \frac{2}{x} term by term:

    1. Apply the power rule: xx goes to 11

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: 1x\frac{1}{x} goes to −1x2- \frac{1}{x^{2}}

      So, the result is: 2x2\frac{2}{x^{2}}

    The result is: 1+2x21 + \frac{2}{x^{2}}

The answer is:

1+2x21 + \frac{2}{x^{2}}

The graph
02468-8-6-4-2-1010-250250
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    2 
1 + --
     2
    x
1+2x21 + \frac{2}{x^{2}}
Simplify
The second derivative [src] 
-4 
---
  3
 x
−4x3- \frac{4}{x^{3}}
Simplify
The third derivative [src] 
12
--
 4
x
12x4\frac{12}{x^{4}}
Simplify
The graph
Derivative of x-2/x
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