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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
20 Dec 2021

Given information

We are given the parabolic equation .

Step-by-step explanation

Step 1.
Note that all points on the parabola are of the form
Assume that the tangent at passes through
 
We know that the slope of tangent at any point is the derivative at that point.
Differentiate , To get
Therefore, the slope of the tangent at .
 
Since the tangent passes through the points and , We can write the slope of the tangent as

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