JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

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Application +4 | -1

If Rolle's theorem holds for the function

f(x) 2 x^{3}+b x^{2}

+c x, x \in[-1,1]

, at the point

x=\frac{1}{2}

, then

2 b+c

equals :

View answer and explanation

Correct option: C

Option B (-1) is correct because the value of

2b+c

is -1 after applying Rolle's theorem conditions to the given function.

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