Calculus, 10th Edition (Anton)

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

Chapter 3 - The Derivative In Graphing And Applications - 3.2 Analysis Of Functions II: Relative Extrema; Graphing Polynomials - Exercises Set 3.2 - Page 206: 39

Answer

No relative extrema.

Work Step by Step

First derivative \[ -\frac{5}{(-2+x)^{2}}=f^{\prime}(x) \] Critical points (zeros of first derivative or point where the first derivative does not exist) \[ 2=x \] First derivative test $f^{\prime}(x)<0$ on the left and $f^{\prime}(x)<0$ on the right of $x=2,$ so $x=2$ is not a relative extrema.
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