Solved: Finding Extrema and Points of Inflection Using Technology In Exercises 5962, use

Chapter 4, Problem 60

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Finding Extrema and Points of Inflection Using Technology In Exercises 59-62, use a computer algebra system to analyze the function over the given interval. (a) Find the first and second derivatives of the function. (b) Find any relative extrema and points of inflection. (c) Graph f,f', and f" on the same set of coordinate axes and state the relationship between the behavior of f and the signs of f' and f".

\(f(x)=x^{2} \sqrt{6-x^{2}}, \quad[-\sqrt{6}, \sqrt{6}]\)

Text Transcription:

f(x)=x^2 sqrt 6-x^2, [-sqrt 6, sqrt 6]

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