Question: During a flood, the water level in a river first rose faster and faster, then rose more and more slowly until it reached its highest

During a flood, the water level in a river first rose faster and faster, then rose more and more slowly until it reached its highest point, then went back down to its pre-flood level. Consider water depth as a function of time.
(a) Is the time of highest water level a critical point or an inflection point of this function?
(b) Is the time when the water first began to rise more slowly a critical point or an inflection point?

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