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Unformatted text preview: MA 160 Section 2.4 Worksheet Name (:2. C30; “fan Using Derivatives to Find Absolute Maximum and Minimum Values 1 1. Consider ﬁx) m x3 + Y2 ——2x+4 . "in
a. Flnd fKX) Z :‘S bﬁzﬁ. x «A x (.33; "ﬁa‘istgrﬂ b. List ali critical values of f
X "Ti 73119 c. For each given interval, complete the tabie and ﬁnd the absolute maximum sod minimum values of f on the given interval : (i) m {29 9}
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off: 3 "", which occurs at Absolute minimum value :2 3;
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values in interval off: which occurs at X: «s2 Absolute maximum value off: it? __.___.__.__._~_____) which occurs at 2. Find the absolute maximum and minimum values of f(x) = x4 ” 2x3 on [—23] and indicate the vaiues
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they exist, over the indicated interval. A130 indicate the value of x at which each extremum occurs. . a
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 Guyton

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