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Let f(x) = 3r¹ - 4x³ + 1. Use a graphing app to draw a graph of f(x). (a) Find the intervals where f is increasing. (b) Find the intervals where f is decreasing. (c) Find the coordinates of any local max/min.

Let f(x) = 3r¹ - 4x³ + 1. Use a graphing app to draw a graph of f(x). (a) Find the intervals where f is increasing. (b) Find the intervals where f is decreasing. (c) Find the coordinates of any local max/min.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f(x) = 3r4 - 4r³+1. Use a graphing app to draw a graph of f(x). (a) Find the intervals where f is increasing. (b) Find the intervals where f is decreasing. (c) Find the coordinates of any local max/min. (d) Find the intervals where f is concave up. (e) Find the intervals where f is concave down. (f) Find the coordinates of any inflection points. (g) On what interval(s) is f both increasing and concave down? (h) On what interval(s) is f both decreasing and concave up?
Transcribed Image Text:Let f(x) = 3r4 - 4r³+1. Use a graphing app to draw a graph of f(x). (a) Find the intervals where f is increasing. (b) Find the intervals where f is decreasing. (c) Find the coordinates of any local max/min. (d) Find the intervals where f is concave up. (e) Find the intervals where f is concave down. (f) Find the coordinates of any inflection points. (g) On what interval(s) is f both increasing and concave down? (h) On what interval(s) is f both decreasing and concave up?
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