CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

A function f(x) defined on [a,b] will have a local maximum at x = b if

[ h is a positive quantity tending to zero]


  1. f(b-h)  ≤ f(b)

  2.  f(b-h) > f(b)

  3. f(b-h) < f(b)

  4. f(b-h)  ≥ f(b)


Solution

The correct option is C

f(b-h) < f(b)


Here, point “b” is the the boundary point. We know, that if there is a boundary point then we have to consider only one side of that point where the function is defined to check the local maximum. Here function is defined only on the left hand side of “b”. So for “b” to be a local maximum f(b-h) < f(b).

Note - Even if f(b-h) is equal to f(b) then also there is no local maximum. That's why option D is incorrect.

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image