Answer
$y=2x-1$
Work Step by Step
Equation of the tangent line at a point a is of the form
$y-f(a)=f'(a)(x-a)$
In this case, $a=3, f(a)=5$ and $f'(a)=2$.
Therefore, the equation of the given tangent line is
$y-5=2(x-3)$ or $y=2x-1$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - 3.1 Definition of the Derivative - Exercises - Page 103: 21
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