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: 32

Answer

$y=4x-7$

Work Step by Step

Lets assume that equation of line that if tangent to this function is: $y=ax+b$ İf it is tangent to function then $f'\left( x\right) =\left( x^{2}-3\right) '=2\times x^{2-1}-0=2x\Rightarrow $ $f'\left( 2\right) =2\times 2=4=a$ $y=ax+b\Rightarrow 1=4\times 2+b\Rightarrow b=-7$ Then equation will be: $y=4x-7$
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