Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=2x4 +8x3+33 Question content area Part 1 Refer to the previous problem. Provide the following answers in the text field below. (a) Identify the first derivative f '(x). (b) Identify all partition values. (c) Evaluate the first derivative at all relevant test values. To save time, do not show work. Simply give the test value and its function value.

Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=2x4 +8x3+33 Question content area Part 1 Refer to the previous problem. Provide the following answers in the text field below. (a) Identify the first derivative f '(x). (b) Identify all partition values. (c) Evaluate the first derivative at all relevant test values. To save time, do not show work. Simply give the test value and its function value.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 96E: What is the purpose of the Intermediate Value Theorem?

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Question content area

Part 1

Refer to the previous problem. Provide the following answers in the text field below.

(a) Identify the first derivative f '(x).

(b) Identify all partition values.

(c) Evaluate the first derivative at all relevant test values. To save time, do not show work. Simply give the test value and its function value.

For example, write your answers like this: f '(3) = -4.

[To create an exponent, you can use the exponent button in the toolbar OR You can use the ^ symbol. For example, 3x2 can be written as 3x^2.]

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