1. Circle the correct expression for the derivative of ƒ (x): A) f'(x) = lim f(x+h)-f(x) B) f'(x) = lim f(x+h)−f(x) h→0 2h C) f'(x) = lim f(x+h)-f(x) h→0 h² x-0 h D) f'(x) = lim f(x+h)-f(x) h→0 h 2. Circle the correct expression for the quotient rule: A) d f(x) dx g(x) f'(x)g(x)−f(x)g'(x) == B) g²(x) d f(x) dx g(x) f(x)g′(x)−f'(x)g(x) = g²(x) d f(x) f'(x)g(x)− f(x)g'(x) c). D) = dx g(x) g(x) d f(x) f'(x)g(x)+f(x)g'(x) dx g(x) g²(x)

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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1.
Circle the correct expression for the derivative of ƒ (x):
A) f'(x) = lim f(x+h)-f(x)
B) f'(x) = lim
f(x+h)−f(x)
h→0
2h
C) f'(x) = lim
f(x+h)-f(x)
h→0
h²
x-0
h
D) f'(x)
= lim
f(x+h)-f(x)
h→0
h
2. Circle the correct expression for the quotient rule:
A)
d f(x)
dx g(x)
f'(x)g(x)−f(x)g'(x)
==
B)
g²(x)
d f(x)
dx g(x)
f(x)g′(x)−f'(x)g(x)
=
g²(x)
d f(x)
f'(x)g(x)− f(x)g'(x)
c).
D)
=
dx g(x)
g(x)
d f(x) f'(x)g(x)+f(x)g'(x)
dx g(x)
g²(x)
Transcribed Image Text:1. Circle the correct expression for the derivative of ƒ (x): A) f'(x) = lim f(x+h)-f(x) B) f'(x) = lim f(x+h)−f(x) h→0 2h C) f'(x) = lim f(x+h)-f(x) h→0 h² x-0 h D) f'(x) = lim f(x+h)-f(x) h→0 h 2. Circle the correct expression for the quotient rule: A) d f(x) dx g(x) f'(x)g(x)−f(x)g'(x) == B) g²(x) d f(x) dx g(x) f(x)g′(x)−f'(x)g(x) = g²(x) d f(x) f'(x)g(x)− f(x)g'(x) c). D) = dx g(x) g(x) d f(x) f'(x)g(x)+f(x)g'(x) dx g(x) g²(x)
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