Math Problem Statement

Calc_Practice_7.2_blank.pdf

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Math Problem Analysis

Mathematical Concepts

Calculus
Maximum and Minimum Problems
Second Derivative Test
Concavity and Points of Inflection
Intervals of Increase and Decrease
Local Extrema

Formulas

First derivative test for extrema
Second derivative test for concavity
f'(x) = 0 to find critical points
f''(x) > 0 for concave up, f''(x) < 0 for concave down

Theorems

Extreme Value Theorem
Second Derivative Test

Suitable Grade Level

College Level (Calculus)