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Consider the following function. f(x) = x4 16x³ + 72x² + 2 (a) Make a sign diagram for the first derivative. ---Select--
Posted: Mon Jul 11, 2022 10:47 am
by answerhappygod
- Consider The Following Function F X X4 16x 72x 2 A Make A Sign Diagram For The First Derivative Select 1 (359.88 KiB) Viewed 37 times
Consider the following function. f(x) = x4 16x³ + 72x² + 2 (a) Make a sign diagram for the first derivative. ---Select--- O ---Select--- Ⓒ (b) Make a sign diagram for the second derivative. ---Select--- € ---Select-O -6 -4 -6 X = IP -4 X = IP (c) Sketch the graph, showing all relative extreme points and inflection points. y -2 400 200 -200 -2 -400 y 400 200 ---Select-- © -200 -400 ---Select--- IP IP 2 4 6 2 4 6 X = ---Select--- € X = X ---Select--- X O O -6 IP ✓ ---Select--- f'(x) > 0 f'(x) < 0 f'(x) = 0 undefined ---Select--- O -4 -6 -4 IP -2 y -2 400 200 200 -400 y 400 200 -200 -400 2 IP 4 6 IP 2 4 6 X X