Limit, Continuity and Differentiability: JEE Main 2020 Mathematics question

JEE Main 2020 · 8 Jan, Evening shift · Q20

JEE Main 20208 Jan, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point at x = –1 and ƒ'(x) has a critical point at x = 1. Then ƒ(x) has a local minima at x = _______.