Part D Let's start by thinking about two different curves.(1-) =r*Curve A: y? = x²(x + 1)Curve B: y?1) a. Take a moment to graph these two curves on program like desmos.com. Take a screen shot and post them here,or quickly sketch them below.b. Use implicit differentiation to find for these two curves.c. Find all horizontal tangent lines of these two curves (you will need to find where = 0 ).dxd. Try to find at (0, 0) on both graphs. What goes wrong? How does this relate to their graphs?

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Answered: d. Try to find dx dy at (0, 0) on both…

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Calculus

d. Try to find dx dy at (0, 0) on both graphs. What goes wrong? How does this relate to their graphs?

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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Question

Part D

Let's start by thinking about two different curves.
(1-) =r*
Curve A: y? = x²(x + 1)
Curve B: y?
1) a. Take a moment to graph these two curves on program like desmos.com. Take a screen shot and post them here,
or quickly sketch them below.
b. Use implicit differentiation to find for these two curves.
c. Find all horizontal tangent lines of these two curves (you will need to find where = 0 ).
dx
d. Try to find at (0, 0) on both graphs. What goes wrong? How does this relate to their graphs?

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