For f(x) = 3x2, find du using the definition, Δε dy dx lim Δε Δε 20 Δε Δε (a) First, evaluate Δy = f(x + Δz) - f(x) and express it in the form Δy = L(x, Δπ) - Δπ. Use dr to represent Δι Ag= (b) Using the L(x, Az) Az above, find the simplified derivative Δy lim dy dz lim f(x + Δz) = f(x) Δε Δy lim Δε 0 Δε

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 6ECP
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For f(x) = 3x2, find du using the definition,
dy
dx
lim
Δευ Δε
lim
Δε 0 Δε Δε
Δε f(x + Δz) = f(x)
Δε
dy
(b) Using the L(x, Az) Az above, find the simplified derivative da
(a) First, evaluate Δy = f(x + Δz) - f(x) and express it in the form Δy = L(x, Δπ) - Δπ. Use dr to represent Δι
-
Ag= Δε
lim
Δy
lim
Δε 0 Δε
Transcribed Image Text:For f(x) = 3x2, find du using the definition, dy dx lim Δευ Δε lim Δε 0 Δε Δε Δε f(x + Δz) = f(x) Δε dy (b) Using the L(x, Az) Az above, find the simplified derivative da (a) First, evaluate Δy = f(x + Δz) - f(x) and express it in the form Δy = L(x, Δπ) - Δπ. Use dr to represent Δι - Ag= Δε lim Δy lim Δε 0 Δε
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