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) .)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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