WBJEE 2018 Math Solved Paper

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Question : 32 of 75

Marks: +1, -0

Let f : [a, b] → R be such that f is differentiable in (a, b), f is continuous at x = a and x = b and moreover f(a) = 0= f(b). Then

there exists atleast one point c in (a, b) such that f'(c) = f(c)
f'(x) = f(x) does not hold at any point in (a, b)
at every point of (a, b), f'(x) > f(x)
at every point of (a, b), f'(x) < f(x)

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