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Question 9868 – Data-Structures
January 26, 2024
Question 10191 – Computer-Organization
January 26, 2024
Question 9868 – Data-Structures
January 26, 2024
Question 10191 – Computer-Organization
January 26, 2024

Question 12657 – TIFR PHD CS & SS 2020

Consider a function f : [0, 1] –> [0, 1] which is twice differentiable in (0, 1). Suppose it has exactly one global maximum and exactly one global minimum inside (0, 1). What can you say about the behaviour of the first derivative f’ and and second derivative f” on (0, 1) (give the most precise answer)?

Correct Answer: D

A
f’ is zero at exactly two points, f” need not be zero anywhere
B
f’ is zero at exactly two points, f” is zero at exactly one point
C
f’ is zero at at least two points, f” is zero at exactly one point
D
f’ is zero at at least two points, f” is zero at at least one point
E
f’ is zero at at least two points, f” is zero at at least two points
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