Ask Questions, Get Answers

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

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $(iii)\: f (x) =4x-\large\frac{x^2}{2}$$, x \in [– 2, \large\frac{9}{2}] $

This is third part of multipart q5

Can you answer this question?

1 Answer

0 votes
  • $\large\frac{d}{dx}(x^n)$$=nx^{n-1}$
Step 1:
On differentiating with respect to x we get
For extreme values $f'(x)=0$
Step 2:
Now we find the values of $f(x)$ at $x=-2,4,\large\frac{9}{2}$
Step 3:
Step 4:
$f(\large\frac{9}{2})=$$4\times \large\frac{9}{2}-\large\frac{1}{2}$$\times \large \frac{81}{4}$
Step 5:
At $x=4$,absolute maximum value$=8$
At $x=2$, absolute minimum value $=-10$
answered Aug 7, 2013 by sreemathi.v
edited Aug 30, 2013 by sharmaaparna1

Related questions

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