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6/x
The derivative of the function/ 6/x

Derivative of 6/x

find the derivative of f(x) = 6/x at x = -2. select one: a. 6 b. 3/2 c.

Find the derivative of f(x) = 6 divided by x at x = -2.

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
6
-
x
6x\frac{6}{x} 
6/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: −6x2- \frac{6}{x^{2}}

The answer is:

−6x2- \frac{6}{x^{2}}

The graph
02468-8-6-4-2-1010-1000500
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-6 
---
  2
 x
−6x2- \frac{6}{x^{2}}
Simplify
The second derivative [src] 
12
--
 3
x
12x3\frac{12}{x^{3}}
Simplify
The third derivative [src] 
-36 
----
  4 
 x
−36x4- \frac{36}{x^{4}}
Simplify
The graph
Derivative of 6/x
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