Porisma

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Sketch a derivative from a smooth peak and horizontal tails

Sketch the graph of the derivative function for the given graph.

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Given qualitative graph: a smooth maximum at (0,2), rising for negative x and falling for positive x, with horizontal asymptote y=1 at both ends. No exact formula is asserted.
Given qualitative graph: a smooth maximum at (0,2), rising for negative x and falling for positive x, with horizontal asymptote y=1 at both ends. No exact formula is asserted.
Given qualitative graph: a smooth maximum at (0,2), rising for negative x and falling for positive x, with horizontal asymptote y=1 at both ends. No exact formula is asserted.

[2006/HCI/Promo/1]

CJC · Lecture · Example 5

Mark where the original tangent is horizontal, then use its slope signs and the stated domain.

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