a.) The stationary points of f are at x = -98, x = -37, and x = 25. Moreover, f' (-100) < 0,f'(-73) < 0, f' (30) < 0. Classify each stationary point as either a relative minimum, relative maximum, or neither. b.) Find the absolute maximum and absolute minimum of f (x) = 4x^3 + 3x^2 - 6x +1 on [0,3] (Hint: the derivative of f is f'(x) = 6(2x-1)(x+1) .)
a.) The stationary points of f are at x = -98, x = -37, and x = 25. Moreover, f' (-100) < 0,f'(-73) < 0, f' (30) < 0. Classify each stationary point as either a relative minimum, relative maximum, or neither. b.) Find the absolute maximum and absolute minimum of f (x) = 4x^3 + 3x^2 - 6x +1 on [0,3] (Hint: the derivative of f is f'(x) = 6(2x-1)(x+1) .)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a.) The stationary points of f are at x = -98, x = -37, and x = 25. Moreover, f' (-100) < 0,f'(-73) < 0, f' (30) < 0. Classify each stationary point as either a relative minimum,
b.) Find the absolute maximum and absolute minimum of f (x) = 4x^3 + 3x^2 - 6x +1 on [0,3] (Hint: the derivative of f is f'(x) = 6(2x-1)(x+1) .)
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