Electrical Engineering > GATE 2021 > Calculus
Let f(x) be a real-valued function such that f'(x0)=0 for some x0∈(0,1) and f''(x)>0 for all x∈(0,1). Then f(x) has
A
no local minimum in (0, 1)
B
one local maximum in (0, 1)
C
exactly one local minimum in (0, 1)
D
two distinct local minima in (0, 1)

Correct : c

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local minimum function second derivative test GATE Electrical Engineering 2021 critical points function local minimum function GATE 2021 second derivative positive critical points electrical engineering

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