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The Geometry of f, f′, f″

Increase, concavity, and inflection · BC Calculus · greeting

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Owl · Mock interview — The Geometry of f, f′, f″. I ask; you answer.

Owl · Here's a playful question: can you be going downhill (f' < 0) while still accelerating in speed along the trail because the slope is getting steeper?

Larry’s gold answer — Show text to read it out loud.

Larry · gold answer · Yes — downhill with f' negative, but if the descent gets steeper, |f'| grows, so you're picking up speed even while height falls.

Owl: Here's a playful question: can you be going downhill (f' < 0) while still accelerating in speed along the trail because the slope is getting steeper?

You: —