Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 13 - Review - Exercises - Page 942: 31

Answer

$y=2x$

Work Step by Step

Lets assume that Equation for tangent line is : $y=ax+b$ İf this line is tangent to any $f(x)$ at $(x,y)$ point then $f’(x)=a$ $f\left( x\right) =2x\Rightarrow f'\left( x\right) =2=a$ $y=ax+b\Rightarrow 6=2\times 3+b\Rightarrow b=0$ So the equation will be: $y=ax+b=2x+0=2x$
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