$\"\"$

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The function is $\"\"$ .

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Rewrite the function as $\"\"$ .

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Differentiate the function with respect to $\"\"$ .

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$\"\"$

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Recall the derivative of the exponential function : $\"\"$ .

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$\"\"$ .

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$\"\"$

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Find extrema by equating the first derivative to zero.

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$\"\"$

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It is never possible, because $\"\"$ and $\"\"$ are never zero.

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Hence the function $\"\"$ has no extrema.

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$\"\"$

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For inflection points, equate second derivative to zero.

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Consider $\"\"$ .

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Apply derivative with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in the original function.

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$\"\"$

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Thus, the inflection point occurs at $\"\"$ .

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$\"\"$

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Graph :

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Draw a coordinate plane.

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Graph the function $\"\"$ .

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$\"\"$

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Observe the graph :

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There is no extrema for $\"\"$ .

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The inflection point occurs at $\"\"$ .

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$\"\"$

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The inflection point occurs at $\"\"$ .