a) The function and its derivative always have the same domains. (b) To find the derivative of h(x) = = d dx f(x) g(x) you must use the Quotient Rule. c) If ƒ and g are continuous then f(g(x)) = f'(g(x))g'(x)
a) The function and its derivative always have the same domains. (b) To find the derivative of h(x) = = d dx f(x) g(x) you must use the Quotient Rule. c) If ƒ and g are continuous then f(g(x)) = f'(g(x))g'(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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pls help asap if false pls give counter example

Transcribed Image Text:5.
True or False:
only if the answer is false,
give a counter example or explain correct reasoning at the bottom of this page.

Transcribed Image Text:a) The function and its derivative always have the same domains.
(b) To find the derivative of h(x)
=
d
dx
f(x)
g(x)
you must use the Quotient Rule.
c) If ƒ and g are continuous then ƒ (g(x)) = ƒ'(g(x))g'(x)
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