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Does a differentiable function have to have a relative minimum between any two relative maxima? Why?
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Does a differentiable function have to have a relative minimum between any two relative maxima? Why?

User Marcus Johansson
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Yes, it does.

A differentiable function is continuous.

A relative maximum means that after the maximum the function starts to go down; then to reach a new maxium the function has to make a U-turn and start to go up. This U-turn point is a minimum
User Kelli
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