Derivative Extrema and Inflection Points
Let f be a twice-differentiable function. If f' has a local maximum at x = a, which of the following statements must be true about the graph of f at x = a?
A
f(x) has a local minimum at x = a.
B
f(x) has a point of most rapid increase at x = a.
C
f(x) has an inflection point at x = a.
D
f(x) is concave up at x = a.
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