(a) The curve y = x/(1 + x2) is called a serpentine. Find an equation of the tangent line to this curve at the point (3, 0.30). y = (b) Illustrate part (a) by graphing the curve and tangent line on the same screen.

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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please show all work because i have a few more problems like these so i want to make sure i understand how to solve this problem. please and thank you so much!

the answer is *NOT 8x+100y=54

(a) The curve y = x/(1 + x2) is called a serpentine. Find an equation of the tangent line to this curve at the point (3, 0.30).
y =
(b) Illustrate part (a) by graphing the curve and tangent line on the same screen.
Transcribed Image Text:(a) The curve y = x/(1 + x2) is called a serpentine. Find an equation of the tangent line to this curve at the point (3, 0.30). y = (b) Illustrate part (a) by graphing the curve and tangent line on the same screen.
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