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8/x
The derivative of the function/ 8/x

Derivative of 8/x

Find the derivative of f(x) = 8/x at x = -1.

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
8
-
x
8x\frac{8}{x} 
d /8\
--|-|
dx\x/
ddx8x\frac{d}{d x} \frac{8}{x}
Transform
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: −8x2- \frac{8}{x^{2}}

The answer is:

−8x2- \frac{8}{x^{2}}

The graph
02468-8-6-4-2-1010-10001000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-8 
---
  2
 x
−8x2- \frac{8}{x^{2}}
Simplify
The second derivative [src] 
16
--
 3
x
16x3\frac{16}{x^{3}}
Simplify
The third derivative [src] 
-48 
----
  4 
 x
−48x4- \frac{48}{x^{4}}
Simplify
The graph
Derivative of 8/x
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