Which of the following is the correct limit definition for the derivative of g(x) = x² + x? O (x+h)² + (x+h) - (h² + h) lim h→0 O O O lim h→0 lim h→0 X (x + h)² + (x + h) - (x² + x) h lim h-0 (x + h)² + (x + h) - (h² + h) h (x+h)² + (x + h) − (x² + x) 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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Which of the following is the correct limit definition for the derivative of g(x) = x² + x?
O (x+h)² + (x+h) - (h² + h)
lim
h→0
O
O
O
lim
h→0
lim
h→0
X
(x + h)² + (x + h) - (x² + x)
h
lim
h→0
(x+h)² + (x + h) - (h² + h)
h
(x+h)² + (x + h) - (x² + x)
X
Transcribed Image Text:Which of the following is the correct limit definition for the derivative of g(x) = x² + x? O (x+h)² + (x+h) - (h² + h) lim h→0 O O O lim h→0 lim h→0 X (x + h)² + (x + h) - (x² + x) h lim h→0 (x+h)² + (x + h) - (h² + h) h (x+h)² + (x + h) - (x² + x) X
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