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

Derivative of 2/x

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

The graph:

from to

Piecewise:

The solution

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

  1. 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 answer is:

−2x2- \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 
---
  2
 x
−2x2- \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 2/x
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