Answer
$y=x\cdot x$
Work Step by Step
A counterexample is $y=x\cdot x$, where $y'=2x$ but $f'(x)g'(x)=1\cdot1=1$.
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Appendix - Mathematical Induction and Other Forms of Proofs - Exercises - Page A6: 27
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