The curve equation is and the point is
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The slope of the tangent line is equal to the derivative of the function at .
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Apply derivative on each side with respect to x.
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Derivative of the function is .
Slope of the line is the first derivative of the function at the point .
Substitute in the derivative of the function.
Point-slope form of line equation is .
Substitute and
in the point slope form.
The tangent line equation is .
The tangent line equation is .