Step 1 :

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The equation of the curve is $\"\"$ and the point $\"\"$ .

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Slope of the tangent line is $\"\"$ .

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Use the chain rule to find the derivative.

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Chain rule of differentiation is $\"\"$ .

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$\"\"$

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Differentiate with respect to $\"\"$ on each side. \ \

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$\"\"$

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

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$\"\"$

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Slope of the tangent line $\"\"$ .

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Point-slope form of line equation $\"\"$ . \ \ Substitute slope $\"\"$ and the point $\"\"$ .

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$\"\"$

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The equation of a tangent line $\"\"$

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Step 2 :

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The equation of the curve is $\"\"$ and the point $\"\"$ .

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$\"\"$

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Differentiate with respect to $\"\"$ on each side. \ \

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$\"\"$

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Consider $\"\"$

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$\"\"$

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Differentiate with respect to $\"\"$ on each side. \ \

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$\"\"$

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Substitute $\"\"$ in the above equation. \ \ $\"\"$

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Find $\"\"$ at the point $\"\"$ .

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$\"\"$ \ \

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Solution :

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The equation of a tangent line $\"\"$

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$\"\"$

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