(a) Find y'. (b) Verify that the point (0, 1) is on the graph of the equation. (c) Find the slope of the tangent line to the graph of the equation at the point (0, 1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 14E
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'Consider the graph of the equation
23 – 2ry? + y³ = 1
%3D
Transcribed Image Text:'Consider the graph of the equation 23 – 2ry? + y³ = 1 %3D
(a) Find y'.
(b) Verify that the point (0, 1) is on the graph of the equation.
(c) Find the slope of the tangent line to the graph of the equation at the point (0, 1).
(d) Graph the tangent line at (0, 1).
2
-3
-2
-1
-1
-2
p3 – 2ry + y³ =1
Transcribed Image Text:(a) Find y'. (b) Verify that the point (0, 1) is on the graph of the equation. (c) Find the slope of the tangent line to the graph of the equation at the point (0, 1). (d) Graph the tangent line at (0, 1). 2 -3 -2 -1 -1 -2 p3 – 2ry + y³ =1
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