Let f : [–1, 1] R be defined as f(x) = ax^2+bx+c for all x [–1, 1], where a, b, c R such that f(–1) = 2,...

Question

Let f : [–1, 1] R be defined as f(x) = ax^2+bx+c for all x [–1, 1], where a, b, c R such that f(–1) = 2, f'(–1) = 1 and for x (–1, 1) the maximum value of f''(x) is 1 2 . If f(x) , x [–1, 1], then the least value of is equal to __________.

Accepted Answer

5

JEE Main 2021 Mathematics question

Solution