Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Section 4.2 - The Natural Exponential Function - 4.2 Exercises - Page 341: 18

Answer

(a) see graph. Subtract $e^{-x}$ from $e^x$ to obtain $e^x-e^{-x}$, then shrink the curve by a factor of 2 to get $sinh(x)$ (b) $sinh(-x)=\frac{e^{-x}-e^{-(-x)}}{2}=\frac{e^{-x}-e^{x}}{2}=-\frac{e^{x}-e^{-x}}{2}=-sinh(x)$ end prove.

Work Step by Step

see above.
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