MathematicsMedium179×since 2002Q4193Let 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)f(b)−f(c){{f(c) - f(a)} \over {f(b) - f(c)}}f(b)−f(c)f(c)−f(a) is greater than :A1Bb−cc−a{{b - c} \over {c - a}}c−ab−cCb+ab−a{{b + a} \over {b - a}}b−ab+aDc−ab−c{{c - a} \over {b - c}}b−cc−aCheck answerSkip