Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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NEED HELP WITH PART E AND D, PLEASE.

1. Let f(x)= 3x² - 4x³ - 12x². (a) Find all critical numbers for the function f. (b) Determine all those intervals on which the graph of f is increasing and all those on which it is decreasing by analyzing the sign of the derivative function. (c) Find and classify all of the relative extreme values/points by applying the First Derivative Test. (d) Sketch a graph of y = f (x) based on your findings in parts (a) - (c). (e) Indicate any absolute maximum or minimum values that exist for this function f.
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Transcribed Image Text:1. Let f(x)= 3x² - 4x³ - 12x². (a) Find all critical numbers for the function f. (b) Determine all those intervals on which the graph of f is increasing and all those on which it is decreasing by analyzing the sign of the derivative function. (c) Find and classify all of the relative extreme values/points by applying the First Derivative Test. (d) Sketch a graph of y = f (x) based on your findings in parts (a) - (c). (e) Indicate any absolute maximum or minimum values that exist for this function f.
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