Consider the following. Function y = 7e1 - x2 (a) Find an equation of the tangent line to the graph of f at the given point. (Let x be the independent variable and y be the dependent variable.) Point (1,7) (b) Use a graphing utility to graph the function and its tangent line at the point. у y 15 12 Ä Ä 9 6 3 1 -1 1 -2 2 3 3 X -2 1 y 15 12 9 6 3 1 2 2 3 3 X X

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
y = 7e¹-x²
(a) Find an equation of the tangent line to the graph of f at the given point. (Let x be the independent variable and y be the dependent variable.)
Point
(1,7)
(b) Use a graphing utility to graph the function and its tangent line at the point.
y
-2
1
2
3
3
X
-2
1
1
y
15
12
9
6
3
y
15
12
9
6
3
1
1
2
2
3
3
X
Transcribed Image Text:Consider the following. Function y = 7e¹-x² (a) Find an equation of the tangent line to the graph of f at the given point. (Let x be the independent variable and y be the dependent variable.) Point (1,7) (b) Use a graphing utility to graph the function and its tangent line at the point. y -2 1 2 3 3 X -2 1 1 y 15 12 9 6 3 y 15 12 9 6 3 1 1 2 2 3 3 X
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