logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  CBSE XII  >>  Math  >>  Application of Derivatives
0 votes

Find the interval in which $ y=x^2e^{-x}$ is increasing.

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • For increasing $ f ' (x) \geq 0$
  • For decreasing $ f ' (x) \leq 0$
Step 1
$ \large\frac{dy}{dx} = 2x\: e^{-x}-x^2e^{-x}=0$
$ \Rightarrow x = 0, \: 2$
$ f(x)$ is increasing in [ 0 2 ]
in $ ( -\infty, \: 0]\: \cup \: [2\: \infty)\: f(x)$ is decreasing
answered Apr 13, 2013 by thanvigandhi_1
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...