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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 .

We are legion.

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