Find the local minimum and maximum value of f. local minimum value local maximum value

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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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How do I find the local maximum and local minimum of f'?

Consider the following function.
f(x) = 2x³15x² + 36x - 5
Find the derivative.
f'(x) = 6x² 30x +36
Find any critical numbers of the function. (Enter your answer as a comma-separated list. If any answer does not exist, enter DNE)
x = 2,3
Find the interval(s) on which fis increasing. (Enter your answer using interval notation.)
(-∞0,2) U (3,00)
Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.)
(2,3)
Find the local minimum and maximum value of f.
local minimum value
local maximum value
Transcribed Image Text:Consider the following function. f(x) = 2x³15x² + 36x - 5 Find the derivative. f'(x) = 6x² 30x +36 Find any critical numbers of the function. (Enter your answer as a comma-separated list. If any answer does not exist, enter DNE) x = 2,3 Find the interval(s) on which fis increasing. (Enter your answer using interval notation.) (-∞0,2) U (3,00) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) (2,3) Find the local minimum and maximum value of f. local minimum value local maximum value
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