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The derivative of the function/ y^(-2)

Derivative of y^(-2)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
1 
--
 2
y
1y2\frac{1}{y^{2}} 
y^(-2)
Detail solution

  1. Apply the power rule: 1y2\frac{1}{y^{2}} goes to −2y3- \frac{2}{y^{3}}

The answer is:

−2y3- \frac{2}{y^{3}}

The graph
02468-8-6-4-2-1010-50005000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-2 
---
  3
 y
−2y3- \frac{2}{y^{3}}
Simplify
The second derivative [src] 
6 
--
 4
y
6y4\frac{6}{y^{4}}
Simplify
The third derivative [src] 
-24 
----
  5 
 y
−24y5- \frac{24}{y^{5}}
Simplify
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