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OpenStudy (anonymous):
Finding extremes help please? For the polynomial function f(x) = -0.02x^4 + .36x^2 - 1.62, find all local and global extrema. (A) No local extrema exist. (B) The local and global extrema are: (-3, 0), (0, -1.62) and (3, 0) (C) The only extrema point is (9, 0) (D) The only extrema point is (- 1.62, 0)
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OpenStudy (anonymous):
thank you
OpenStudy (danjs):
Local min at x=0 y = -1.62
OpenStudy (danjs):
Local max at x=3 y=0 and x=-3 y=0
OpenStudy (anonymous):
thank you
OpenStudy (danjs):
derivative is -0.08x(x-3)(x+3) that has critical poitns at 0,3,-3
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OpenStudy (danjs):
increasing to decreasing at point -3 decreasing to increasing at 0 increasing to decreasing at +3
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