Solved: Extrema and inflection points Let h = ƒg be the
Chapter 4, Problem 10AAE(choose chapter or problem)
Problem 10AAE
Extrema and inflection points Let h = ƒg be the product of two differentiable functions of x.
a. If ƒ and g are positive, with local maxima at x = a, and if and change sign at a, does h have a local maximum at a?
b. If the graphs of ƒ and g have inflection points at x = a does the graph of h have an inflection point at a?
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