$\"\"$

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(a)

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

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

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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 slope of the tangent line at $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Therefore, slope of the tangent line $\"\"$ .

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$\"\"$

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Point-slope form of line equation is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in the point-slope form.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The tangent line equation is $\"\"$ .

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$\"\"$

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(b)

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Graph the function $\"\"$ and tangent line $\"\"$ .

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$\"\"$

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$\"\"$

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(c)

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Graph the differential equation and tangent line using derivative feature of a graphing utility.

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$\"\"$

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$\"\"$

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The tangent line equation is $\"\"$ .