Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Step 1 : Analysis
Given :
Step 2 : Simplification
Let the equation of the tangent line be , where is the slope of the line.
We will find the derivative of at to determine the slope of the tangent line.
At ,
The slope of the tangent line is . The equation of the tangent line becomes
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