6. Let f(x) = 4+ 8x³ – xª %3D Over what x-intervals is f increasing/decreasing? (a) Find all critical points of f and test each for local (b) maximum and local minimum. Over what x-intervals is f concave up/down? (c) Sketch the shape of the graph of f (P)
6. Let f(x) = 4+ 8x³ – xª %3D Over what x-intervals is f increasing/decreasing? (a) Find all critical points of f and test each for local (b) maximum and local minimum. Over what x-intervals is f concave up/down? (c) Sketch the shape of the graph of f (P)
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:6. Let
f(x) = 4+ 8x³ – xª
%3D
Over what x-intervals is f increasing/decreasing?
(a)
Find all critical points of f and test each for local
(b)
maximum and local minimum.
Over what x-intervals is f concave up/down?
(c)
Sketch the shape of the graph of f
(P)
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