Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.3 Product and Quotient Rules - Preliminary Questions - Page 121: 1


a) false b) true c) false d) false e) true

Work Step by Step

(a) The statement is false. The correct version is: $fg$ denotes the function whose value at $x$ is $f(x)g(x)$ (b) True. The notation $f/g$ means that we divide two functions. (c) False. Derivative of $fg$ is not equal to $f'g'$, but is equal to $f'g+g'f$ (d) False. According to the product rule, we have $(fg)'(4)=f'(4)g(4)+g'(4)f(4)$ (e) True.
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