(a) Find an equation of the tangent line to the curve y = 14/(1 + e-X) at the point (0, 7). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. y У 14 12 -3 -2 -1 10 (0, 7) (0,–7) -10 -12 -3 -2 -1 3 -14F y У 14E х 3 12 10 (0, 7) (0, – 7) -10 -12 -14F -3 -2 -1 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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(a) Find an equation of the tangent line to the curve y = 14/(1 + e-X) at the point (0, 7).
(b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.
y
У
14
12
-3
-2
-1
10
(0, 7)
(0,–7)
-10
-12
-3
-2
-1
3
-14F
y
У
14E
х
3
12
10
(0, 7)
(0, – 7)
-10
-12
-14F
-3
-2
-1
1
Transcribed Image Text:(a) Find an equation of the tangent line to the curve y = 14/(1 + e-X) at the point (0, 7). (b) Illustrate part (a) by graphing the curve and the tangent line on the same screen. y У 14 12 -3 -2 -1 10 (0, 7) (0,–7) -10 -12 -3 -2 -1 3 -14F y У 14E х 3 12 10 (0, 7) (0, – 7) -10 -12 -14F -3 -2 -1 1
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