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Suppose you compute a derivative of a continuous function g and simplify it as the following: g'(x) = 30x² (4x - 1). 4-X

Suppose you compute a derivative of a continuous function g and simplify it as the following: g'(x) = 30x² (4x - 1). 4-X

Calculus For The Life Sciences
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 8CR
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This problem illustrates the First Derivative Test. Suppose you compute a derivative of a continuous function g and simplify it as the following: - g'(x) = 30x²(4x − 1). 4- X (a) Find the critical points of g. (smallest) X = X = X = (b) Determine the sign of g' on each subinterval of the real number line where cp1, cp2, and cp3 refer to the critical points from smallest to largest. ---Select--- ✓ (largest) | cp1 ---Select--- ✓ V cp2 V ---Select--- ✓ cp3 (c) Use the signs to classify each critical point as a local maximum, local minimum, or neither. cp1 ---Select--- cp2 ---Select--- cp3 ---Select--- ---Select--- v
Transcribed Image Text:This problem illustrates the First Derivative Test. Suppose you compute a derivative of a continuous function g and simplify it as the following: - g'(x) = 30x²(4x − 1). 4- X (a) Find the critical points of g. (smallest) X = X = X = (b) Determine the sign of g' on each subinterval of the real number line where cp1, cp2, and cp3 refer to the critical points from smallest to largest. ---Select--- ✓ (largest) | cp1 ---Select--- ✓ V cp2 V ---Select--- ✓ cp3 (c) Use the signs to classify each critical point as a local maximum, local minimum, or neither. cp1 ---Select--- cp2 ---Select--- cp3 ---Select--- ---Select--- v
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