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Calculus
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13 Nov 2019

Consider f(x) = -x4 + 8x2 + 9.

c) Use the second derivative test to determine if each point of relative ex-
trema is a local minimum or local maximum.

d)Calculate the y value of each point of extrema.

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Deanna Hettinger
Deanna HettingerLv2
17 Apr 2019

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Show transcribed image text

Consider f(x) = -x4 + 8x2 + 9.
(a) (1 point) Use the rational root test and synthetic division (or that the equation is
in quadratic form) to locate all the x-intercepts of f(x). (Note that (-x2 - a2) =
-(x2 + a2) has no real roots.)
(b)(2 points) Use the rst derivative test to determine the x coordinate of all possible
relative extrema.

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