Do the given math problems. Period 3Given the function f(x) = x5 - 10x4, determine all intervals on which f isdecreasing.State what the critical points of this function are and how you know they arecritical points. CalculusGiven the function f(x) = x³ - 12x - 4, determine the absolute minimum valueoff on the closed interval [-3, 3].

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Answered: Given the function f(x) = x5 - 10x¹,…

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 83E

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Given the function f(x) = x5 - 10x¹, determine all intervals on which f is decreasing. State what the critical points of this function are and how you know they are critical points.