University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 4 - Section 4.2 - The Mean Value Theorem - Exercises - Page 223: 39

Answer

$f(x)=x^2-x$

Work Step by Step

Here, the derivative is given as: $f'(x)=2x+1$, thus, the general form of the function is: $f(x)=x^2-x+C$ Since the graph of the given function passes through $(0,0)$, $f(0)=0 \implies 0^2-0+C$ or, $C=0$ Hence, $f(x)=x^2-x$
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