Please help calculate all critical points and inflection points of f(x) = 4x5 − 5x4 and f(x) = x4 + 4x3. Apply the second derivative test at each critical point. Help find the open intervals on the x-axis on which the function is increasing and those on which it is decreasing please.

Please help calculate all critical points and inflection points of f(x) = 4x5 − 5x4 and f(x) = x4 + 4x3. Apply the second derivative test at each critical point. Help find the open intervals on the x-axis on which the function is increasing and those on which it is decreasing please.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...

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Question

Please help calculate all critical points and inflection points of f(x) = 4x⁵ − 5x⁴and f(x) = x⁴ + 4x³. Apply the second derivative test at each critical point. Help find the open intervals on the x-axis on which the function is increasing and those on which it is decreasing please.

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