Consider the following function and point. x +4 X-4' (a) Find the derivative of the function. f'(x) = Find f'(x) when x = 5. f'(5) = Give the slope of the graph of the function at the given point (5, 9). slope = Find an equation of the tangent line to the graph of f at the given point. y = (5,9) (b) Use a graphing utility to graph the function and its tangent line at the point. y O -10 -5 20 15 10 5 y 20 15 10 5 10 y -10 -15 -20 5 10 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 and point.
x + 4
X-4
(a) Find the derivative of the function.
f(x) =
f'(x) =
Find f'(x) when x = 5.
f'(5) =
y =
Give the slope of the graph of the function at the given point (5, 9).
slope =
Find an equation of the tangent line to the graph of f at the given point.
(5,9)
(b) Use a graphing utility to graph the function and its tangent line at the point.
y
-10
-5
20
15
10
5
5
y
20
15
10
5
5
10
X
5
10
fr
-10-
-15
X
Transcribed Image Text:Consider the following function and point. x + 4 X-4 (a) Find the derivative of the function. f(x) = f'(x) = Find f'(x) when x = 5. f'(5) = y = Give the slope of the graph of the function at the given point (5, 9). slope = Find an equation of the tangent line to the graph of f at the given point. (5,9) (b) Use a graphing utility to graph the function and its tangent line at the point. y -10 -5 20 15 10 5 5 y 20 15 10 5 5 10 X 5 10 fr -10- -15 X
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