Answer
$\bf{Graph (b)}$
Work Step by Step
Since, we have $\dfrac{dy}{dx}=2x$
This implies, $y=x^2+C$
Plug $x=1,y=4$ in equation $y=x^2+C$ for solving $C$.
we have $C=3$
Hence, $y=x^2+3$; which shows $\bf{Graph (b)}$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 4: Applications of Derivatives - Section 4.7 - Antiderivatives - Exercises 4.7 - Page 240: 69
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