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Consider the following function and point. f(x) = =X+4, (5,9) (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 =

Consider the following function and point. f(x) = =X+4, (5,9) (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 =

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