Applications of Differentiation - Sketching Derivative Graphs

Applications of Differentiation - Sketching Derivative Graphs

\({y = \mathrm{f}(x)}\)

\({y = \mathrm{f}'(x)}\)

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Answer:Rows 1–3: see the worked derivative sketches. Zeros: (1) \(x=0,2\); (2) \(x=-1\); (3) none. Vertical asymptotes: (1) \(x=3\); (2) \(x=-3,1\); (3) \(x=0\). Horizontal asymptote \(y=0\) in all three rows.

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