Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x) ≥ 1 and f''(x) ≥ 4, for all x (1, 6), then:

Limit, Continuity and Differentiability: JEE Main 2020 Mathematics question

JEE Main 2020 · 4 Sep, Morning shift · Q2713

JEE Main 20204 Sep, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x)

\ge

1 and f''(x)

\ge

4, for all x

\in

(1, 6), then :