Given the function f(x) 4x2 f(x + h) – f(x) Find the difference quotient h f(x + h) – f(x) Find f'(x) by determining lim h→0 h Find f'(- 2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1) Graph the function f(x) = are -2 , 0, and 1. 4x and draw the tangent lines to the graph at points whose x-coordinates OF to -4 -6 -7 -8 -10 -14 -16 in Clear All Draw:

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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Given the function f(x) =
4x2
f(x + h) – f(x)
Find the difference quotient
h
f(x + h) – f(x)
Find f'(x) by determining lim
h→0
Find f'( - 2) (This slope should match the tangent line you drew above.)
Find f'(0)
Find f'(1)
4.x2 and draw the tangent lines to the graph at points whose x-coordinates
Graph the function f(x)
are -2 , 0, and 1.
tor
-3
-2
-4
-6
-7
-10
-12
-13
-14
-15
--16
Clear All Draw:
Transcribed Image Text:Given the function f(x) = 4x2 f(x + h) – f(x) Find the difference quotient h f(x + h) – f(x) Find f'(x) by determining lim h→0 Find f'( - 2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1) 4.x2 and draw the tangent lines to the graph at points whose x-coordinates Graph the function f(x) are -2 , 0, and 1. tor -3 -2 -4 -6 -7 -10 -12 -13 -14 -15 --16 Clear All Draw:
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