$\"\"$

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The function $\"\"$ .

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Let $\"\"$ .

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Find the $\"\"$ -intercepts by substituting $\"\"$ .

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$\"\"$

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Apply zero product property.

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$\"\"$ and $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ -intercepts are $\"\"$ and $\"\"$ .

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$\"\"$

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Since $\"\"$ , from Rolles theorem there exist at least one $\"\"$ in the interval $\"\"$ such that $\"\"$ .

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$\"\"$

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$\"\"$

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Product rule in derivatives $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Find the zeros of $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ is zero between the $\"\"$ -intercepts at $\"\"$ .

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$\"\"$

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$\"\"$ -intercepts are $\"\"$ and $\"\"$ .

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$\"\"$ .