Electrical Engineering > GATE 2024 > Calculus
Let f(t) be a real-valued function whose second derivative is positive for -∞<t<∞. Which of the following statements is/are always true?
A
f(t) has at least one local minimum.
B
f(t) cannot have two distinct local minima.
C
f(t) has at least one local maximum.
D
The minimum value of f(t) cannot be negative.

Correct : b) f(t) cannot have two distinct local minima.

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second derivative test local minima maxima GATE Electrical Engineering 2024 electrical engineering gate minimum value function GATE 2024 questions second derivative positive local minima distinct

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