Question
Hard
Solving time: 5 mins
Let be a polynomial of degree four having extreme values at and . If , then is equal to (a) (b) (c) 0 (d) 4
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Text solutionVerified
Exp. (c)
Central Idea Any function have extreme values (maximum or minimum) at its critical points, where
Since, the function have extreme values at and .
at and and
Also it is given that
will be of the form , is of four degree polynomial]
Let ........(i)
and ........(ii)
On solving Eqs. (i) and (ii), we get
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Question Text | Let be a polynomial of degree four having extreme values at and . If , then is equal to
(a)
(b)
(c) 0
(d) 4 |
Updated On | Oct 21, 2022 |
Topic | Limits and Derivatives |
Subject | Mathematics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 1 |
Upvotes | 188 |
Avg. Video Duration | 10 min |