JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

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Application +4 | -1

If the Rolle's theorem holds for the function

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

in the interval

[-1,1]

for the point

\mathrm{c}=\frac{1}{2}

, then the value of

2 \mathrm{a}+\mathrm{b}

is:

View answer and explanation

Correct option: B

-1

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

2a+b

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

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