$\"\"$

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(a).

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Find the slope of the function at $\"\"$ .

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The function is $\"\"$ .

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$\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$ .

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Derivative of hyperbolic trigonometry : $\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in the above function

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$\"\"$

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The slope is $\"\"$ .

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$\"\"$

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(b).

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Observe the figure:

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$\"\"$

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Substitute $\"\"$ in the above function

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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(a). $\"\"$

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(b). $\"\"$ .