Mathematics · 2014
JEE Main · 9 April 2014, Shift 1 · Q73
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 c =1/2, then the value of 2a+b is:
If the Rolle's theorem holds for the function $\displaystyle f(x)=2 x^3+\mathrm{a} x^2+\mathrm{b} x$ in the interval $\displaystyle [-1,1]$ for the point $\displaystyle \mathrm{c}=\frac{1}{2}$, then the value of 2a+b is :
Official answer
(2)
$\displaystyle -1$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.