The curve is .
Apply derivative on each side with respect to .
Product rule in derivatives: .
Slope of the tangent line is .
Slope-intercept form of line equation is , where
is the slope of the line.
The parallel line equation is .
Write down the equation in slope intercept form.
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Comparing line equation with
Slope of the parallel line is .
Since the slopes of the parallel line are equal, the slope of the tangent line is .
Equate slope value to .
Substitute in the curve.
Point on the curve is .
Find the tangent line equation.
\Point-slope form of line equation : .
Substitute and
in the point - slope form.
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Equation of the tangent line is .
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Tangent line equation is .