Find an equation of the tangent line to the parabola y = 5x2 at the point P(2, 20) using this definition. %3D SOLUTION Here we have a = 2, and f(x) 5x, so the slope is as follows. !! f(x) - f(2) lim x - 2 m = X - 2 lim x - 2 %3D X - 2 5(x - 2) lim x - 2 %3D X – 2 lim 5 x - 2 ) = + 2 !! Using the point slope form of the equation of a line, we find an equation of the tangent line at (2, 20) is as follows. y-(D)-(D)(*-O) y - (D)x-(O). or Need Help? Read It
Find an equation of the tangent line to the parabola y = 5x2 at the point P(2, 20) using this definition. %3D SOLUTION Here we have a = 2, and f(x) 5x, so the slope is as follows. !! f(x) - f(2) lim x - 2 m = X - 2 lim x - 2 %3D X - 2 5(x - 2) lim x - 2 %3D X – 2 lim 5 x - 2 ) = + 2 !! Using the point slope form of the equation of a line, we find an equation of the tangent line at (2, 20) is as follows. y-(D)-(D)(*-O) y - (D)x-(O). or Need Help? Read It
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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