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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How would I find the tangent line approximation

Transcribed Image Text:2021FallMATH111Activity20 (20 of 22)
4. Linear approximations are used to speed up calculations. Say you are playing Fortnite,
and you appreciate how smooth the game play is. There are many games that want
realistic (not too realistic) physics and graphics. These games must make many, many
calculations per second. If a shadow casting algorithm in my game must be used every
time the frame is refreshed, that algorithm must be fast. Let's say the algorithm involves
f(x) = V1+x.
What is the tangent line approximation of f(x) near x = 0?
LCx)- fla) + f'ca) Cr-a)
fla)= f(0)
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