Q2 of 137 Page 19

Write sufficient conditions for a point = c to be a point of local maximum.

For x=c to be a local maximum of f (x), f’(x)=0 & f’’(x)<0 (when f(x) is defined at c).If f(x) is not defined at c, we need to check values of f(x) at all extreme points.


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29

#Mark the correct alternative in each of the following

The minimum value of the function f(x) = 2x3 – 21x2 + 36x – 20 is


 1

Write necessary condition for a point = c to be an extreme point of the function ().

 3

If f() attains a local minimum at = c, then write the values of ’(c) and ’’ (c).

 4

Write the minimum value of .