$\"\"$

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The function is $\"\"$ and $\"\"$ .

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The linear function is $\"\"$ .

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The quadratic function is $\"\"$ .

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$\"\"$

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

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$\"\"$

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

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$\"\"$

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$\"\"$

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First derivative of $\"\"$ at $\"\"$ .

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$\"\"$

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Second derivative of $\"\"$ at $\"\"$ .

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$\"\"$

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$\"\"$

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The linear function is $\"\"$ .

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$\"\"$

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The quadratic function is $\"\"$ .

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$\"\"$

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$\"\"$

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Now plot the graphs of $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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From the graph the value of the $\"\"$ , $\"\"$ and $\"\"$ at $\"\"$ is same.

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The approximations wrosen as we move away from $\"\"$ .

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$\"\"$

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

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$\"\"$

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The value of the $\"\"$ , $\"\"$ and $\"\"$ at $\"\"$ is same.

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The approximations wrosen as we move away from $\"\"$ .