University Calculus: Early Transcendentals (3rd Edition)

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

Chapter 13 - Section 13.6 - Tangent Planes and Differentials - Exercises - Page 729: 53

Answer

The function $f$ is more sensitive to a change in $d$.

Work Step by Step

$f (a,b,c,d)=ad-b c$ So, $f_a=d; f_b=-c; f_c=-b ; f_d=a$ Next, $df = d \times da -c db -b dc +a \times dd$ We can notice that the function $f$ is more sensitive to a change in $d$ as $|a| is bigger than b, c and d.
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