a. The function f(x) = x sin x can be differentiated without us- ing the Chain Rule. b. The function f(x) = eV*+! should be differentiated using the Chain Rule. c. The derivative of a product is not the product of the deriva- tives, but the derivative of a composition is a product of derivatives. d d. P(Q(x)) = P'(x)Q'(x) %3D dx

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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 Explain why or why not Determine whether the following statements are true and give an explanation or counter  example

a. The function f(x) = x sin x can be differentiated without us-
ing the Chain Rule.
b. The function f(x) = eV*+! should be differentiated using the
Chain Rule.
c. The derivative of a product is not the product of the deriva-
tives, but the derivative of a composition is a product of
derivatives.
d
d. P(Q(x)) = P'(x)Q'(x)
%3D
dx
Transcribed Image Text:a. The function f(x) = x sin x can be differentiated without us- ing the Chain Rule. b. The function f(x) = eV*+! should be differentiated using the Chain Rule. c. The derivative of a product is not the product of the deriva- tives, but the derivative of a composition is a product of derivatives. d d. P(Q(x)) = P'(x)Q'(x) %3D dx
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