Given the function y = f(x) = /x² + 1 a. Use the first derivative to find the intervals

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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2. Given the function y = f(æ) = Vx² + 1
a. Use the first derivative to find the intervals where f(x) is increasing/decreasing.
b. Use your answer from part a to find all local extrema of f(x). Label each as being a local
maximum or local minimum.
Transcribed Image Text:2. Given the function y = f(æ) = Vx² + 1 a. Use the first derivative to find the intervals where f(x) is increasing/decreasing. b. Use your answer from part a to find all local extrema of f(x). Label each as being a local maximum or local minimum.
2. (continued y = f(x) = Vx² +1)
c. Use the second derivative to find the intervals where f(x) is concave up/concave down.
d. Use your answers from a-c to sketch a graph of y = f(x).
Transcribed Image Text:2. (continued y = f(x) = Vx² +1) c. Use the second derivative to find the intervals where f(x) is concave up/concave down. d. Use your answers from a-c to sketch a graph of y = f(x).
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