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Back to Functions, Derivatives, and Antiderivatives

Exercise 36

Avg difficulty 2.5

Complete as many cells in this table as possible so that when read left to right the relationships between the derivatives, function, and antiderivative are always true. Please note that several cells will remain blank.

f′′\sd{f}f′\fd{f}ffFF
Concave Down\phantom{\text{Concave Down}}Concave Down\phantom{\text{Concave Down}}PositiveConstant Zero\phantom{\text{Constant Zero}}
Negative
Constant Zero
Increasing
Decreasing
Constant
Concave Up
Concave Down
Linear

Simonds, Calculus Lab Manual, §4.7 Supplement, Exercise 36

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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.