MathematicsMedium179×since 2002Q4192Let S be the set of all functions ƒ : [0,1] →\to→ R, which are continuous on [0,1] and differentiable on (0,1). Then for every ƒ in S, there exists a c ∈\in∈ (0,1), depending on ƒ, such thatA∣f(c)−f(1)∣<∣f′(c)∣\left| {f(c) - f(1)} \right| < \left| {f'(c)} \right|∣f(c)−f(1)∣<∣f′(c)∣B∣f(c)+f(1)∣<(1+c)∣f′(c)∣\left| {f(c) + f(1)} \right| < \left( {1 + c} \right)\left| {f'(c)} \right|∣f(c)+f(1)∣<(1+c)∣f′(c)∣C∣f(c)−f(1)∣<(1−c)∣f′(c)∣\left| {f(c) - f(1)} \right| < \left( {1 - c} \right)\left| {f'(c)} \right|∣f(c)−f(1)∣<(1−c)∣f′(c)∣DNoneCheck answerSkip