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Exercise 18

Avg difficulty 2.5

Consider g(t)=t+9t3\fe{g}{t}=\frac{t+9}{t^3}. Find (and completely simplify) g′′(t)\fe{\sd{g}}{t} and state all numbers where g′′(t)\fe{\sd{g}}{t} is zero or undefined. Then construct a concavity table for gg and state all of the inflection points on gg.

Simonds, Calculus Lab Manual, §9.8 Supplement, Exercise 18

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Adapted from Calculus Lab Manual © 2012–2016 Portland Community College. Licensed under CC BY-SA 4.0. Source: Calculus Lab Manual. Imported at revision 3060f8e.