Question

If the Rolle’s theorem holds for the function f(x) = 2x³ + ax² + bx in the interval [−1, 1] for the point c = 1/2, then the value of 2a + b is 

(A) 1 

(B) −1 

(C) 2 

(D) − 2

Answer 1

Answer is (B) −1

Since Rolle’s theorem holds, so f'(1/2) = 0. Now