Mister Exam

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
The first derivative [src]
-2 
---
  3
 y 
2y3- \frac{2}{y^{3}}
The second derivative [src]
6 
--
 4
y 
6y4\frac{6}{y^{4}}
The third derivative [src]
-24 
----
  5 
 y  
24y5- \frac{24}{y^{5}}