f(x + h) = f(x) h is temporarily regarded as a constant during the calculation of the limit. (a) When using f(x) = lim h→0 f'(x) = = = = = = lim h→0 lim h→0 lim h→0 lim h→0 lim h→0 f(x + h) − f(x) h x+h 4x3 + h to compute a derivative, we must remember that the variable is )² - h - 3x - 3h 4x³3 + 3x X h 3(x + h) — [4x³ − 3x] + X 0 5 √₁ 0! calcPad Operations Functions Symbols Relations Sets Vectors Trig Greek Help

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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f(x + h) = f(x)
h
is temporarily regarded as a constant during the calculation of the limit.
(a) When using f(x) = lim
h→0
f'(x)
=
=
=
=
=
=
lim
h→0
lim
h→0
lim
h→0
lim
h→0
lim
h→0
f(x + h) − f(x)
h
x+h
4x3
+
h
to compute a derivative, we must remember that the variable is
)² -
h
- 3x - 3h 4x³3 + 3x
X
h
3(x + h) — [4x³ − 3x]
+
X
0
5
√₁
0!
calcPad
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Transcribed Image Text:f(x + h) = f(x) h is temporarily regarded as a constant during the calculation of the limit. (a) When using f(x) = lim h→0 f'(x) = = = = = = lim h→0 lim h→0 lim h→0 lim h→0 lim h→0 f(x + h) − f(x) h x+h 4x3 + h to compute a derivative, we must remember that the variable is )² - h - 3x - 3h 4x³3 + 3x X h 3(x + h) — [4x³ − 3x] + X 0 5 √₁ 0! calcPad Operations Functions Symbols Relations Sets Vectors Trig Greek Help
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