Calculus 1. Consider the function f(x) = -5+7²-1. (a) Find the derivative f'(x) and hence the critical points. (b) Classify the critical points using the first derivative test to deter- mine if they are local maximum or minimum or neither. (c) Find any points of inflection for f(x).

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
Section4.2: Derivatives Of Products And Quotients
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Calculus
1. Consider the function f(x) = -5+7²-1.
(a) Find the derivative f'(x) and hence the critical points.
(b) Classify the critical points using the first derivative test to deter-
mine if they are local maximum or minimum or neither.
(c) Find any points of inflection for f(x).
Transcribed Image Text:Calculus 1. Consider the function f(x) = -5+7²-1. (a) Find the derivative f'(x) and hence the critical points. (b) Classify the critical points using the first derivative test to deter- mine if they are local maximum or minimum or neither. (c) Find any points of inflection for f(x).
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