12) Suppose f is continuous at a critical number c and differentiable on an open interval (a,b) containing c except poss
Posted: Thu Jul 14, 2022 4:42 pm
12) Suppose f is continuous at a critical number c and differentiable on an open interval (a,b) containing c except possibly at c itself. Suppose f′(x)>0 for x∈(a,c) and f′(x)>0 for x∈(c,b), then a) f(c) is a local minimum of f b) f(c) is a local maximum of f c) f(c) is not a local extremum of f d) f(x) is constant on [a,b]