Consider the following function. 9(x) = x2/3 (a) If a + 0, find g'(a). g'(a) = (b) Illustrate that y = x2/3 has a vertical tangent line at (0, 0) by graphing the equation. y y y 0.4 0.4 0.4 0.3 0.3 0.3 0.2 0.2 0.2 0.1 0.1 0.1 Q.1 -0.2 -0.1 0.1 0.2 -0.2 -0.1 0.1 0.2 -0.2 -0.1 0.1 0.2 -0.1 0.1 -0.1 C -0.2 -0.2E -0.2 y 0.4 0.3 0.2 0.1 -0.2 -0.1 0.1 0.2 -0.1 -0.2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following function.
g(x) = x²/3
(a) If a + 0, find g'(a).
g'(a) =
%3D
,2/3
(b) Illustrate that y = x
has a vertical tangent line at (0, 0) by graphing the equation.
y
y
y
0.4
0.4
0.4
0.3
0.3
0.3
0.2
0.2
0.2
Q.1
0.1
Q.1
-0.2
-0.1
0.1
0.2
-0.2
-0.1
0.1
0.2
-0.2
-0.1
0.1
0.2
-0.1
0.1
-0.1
-0.2E
-0.2E
-0.2
y
0.4
0.3
0.2
0.1
-0.2
-0.1
0.1
0.2
-0.1
- 0.2E
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Transcribed Image Text:Consider the following function. g(x) = x²/3 (a) If a + 0, find g'(a). g'(a) = %3D ,2/3 (b) Illustrate that y = x has a vertical tangent line at (0, 0) by graphing the equation. y y y 0.4 0.4 0.4 0.3 0.3 0.3 0.2 0.2 0.2 Q.1 0.1 Q.1 -0.2 -0.1 0.1 0.2 -0.2 -0.1 0.1 0.2 -0.2 -0.1 0.1 0.2 -0.1 0.1 -0.1 -0.2E -0.2E -0.2 y 0.4 0.3 0.2 0.1 -0.2 -0.1 0.1 0.2 -0.1 - 0.2E Need Help? Read It
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