Let ƒ be any function continuous on [a, b] and twice differentiable on (a, b). If for all x (a, b), ƒ'(x) > 0 and ƒ''(x) < 0, then for any c (a, b), (f(c) - f(a))/(f(b) - f(c)) is greater than:

Limit, Continuity and Differentiability: JEE Main 2020 Mathematics question

JEE Main 2020 · 9 Jan, Morning shift · Q4193

JEE Main 20209 Jan, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let ƒ be any function continuous on [a, b] and twice differentiable on (a, b). If for all x

\in

(a, b), ƒ'(x) > 0 and ƒ''(x) < 0, then for any c

\in

(a, b),

{{f(c) - f(a)} \over {f(b) - f(c)}}

is greater than :