MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
On the interval [−2,4], the graph of a function f has a removable discontinuity at x=1 but is otherwise differentiable. Identify the specific hypothesis that fails, preventing the guarantee of a point c in (−2,4) where f′(c) equals the average rate of change of f over [−2,4].