(a) Sketch the graph of a function that has a local maximum at 2 and is differentiable at 2 . (b) Sketch the graph of a function that has a local maximum at 2 and is continuous but not differentiable at 2 .(c) Sketch the graph of a function that has a local maximum at 2 and is not continuous at 2 .
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(a) Sketch the graph of a function that has a local maximum at 2 and is differentiable at 2. (b) Sketch the graph of a function that has a local maximum at 2 and is continuous but not differentiable at 2. (c) Sketch the graph of a function that has a local maximum at 2 and is not continuous at 2.
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$$ \begin{array}{l}{\text { (a) Sketch the graph of a function that has a local maximum }} \\ {\text { at } 2 \text { and is differentiable at } 2 \text { . }} \\ {\text { (b) Sketch the graph of a function that has a local maximum }} \\ {\text { at } 2 \text { and is continuous but not differentiable at } 2 \text { . }}\end{array} $$ $$ \begin{array}{l}{\text { (c) Sketch the graph of a function that has a local maximum }} \\ {\text { at } 2 \text { and is not continuous at } 2 .}\end{array} $$
Applications of Differentiation
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