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Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Wednesday, March 23, 2016

How to find maxima and minima at Given Point

Hey there
Now I m talk u about tricks of maxima and minima at a given point.

Let we are interested to find maxima or minima for f(x). ie ..f(x) = ax²+bx+c
at a point x= a
Solution --

1-First differentiate it.
We obtained.
I.e.. 2ax+b
2- now put x= a
If it is +ve then maxima , -ve then minima, if zero
3- differentiate again then put x=a
If positive then minima or negative then maxima.
If zero .
4 similarly differentiate till u get non - zero value after putting x=a

Then
If u obtained  non-zero at nth derivative

If n is odd -
     Obtained positive - maxima
                     Negative - minima

If n is even-
     Obtained positive - minima
                     Negative - maxima

I hope u like this post for any problem comment down or mail at given e-mail .

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