Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.4 Graphs And Applications Involving Logarithmic And Exponential Functions - Exercises Set 6.4: 30

Answer

False.

Work Step by Step

A relative minima is a point where the derivative equals zero. $f'(0)$ equals $$e^{(1-1)^{2}}=e^{0}=1\ne0$$ Therefore, there is not a relative minimum at $x=1$.
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