(1) Find the derivative of the function f(x) = 2x³ - 12x² +4 and use it to find the critical numbers and sign chart to determine the intervals where it is increasing and decreasing. Label each critical number on the sign chart as a minimum, maximum, or neither.

(1) Find the derivative of the function f(x) = 2x³ - 12x² +4 and use it to find the critical numbers and sign chart to determine the intervals where it is increasing and decreasing. Label each critical number on the sign chart as a minimum, maximum, or neither.

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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Question

(1) Find the derivative of the function
f(x) = 2x³ – 12x² +4
and use it to find the critical numbers and sign chart to determine the intervals where it
is increasing and decreasing. Label each critical number on the sign chart as a minimum,
maximum, or neither.

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