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Given: f(x) = x³ + 2x² (x - 1)²¹ with f'(x) = x³ - 3x² - 4x (x − 1)³ - and f"(x) = 14x + 4 (x − 1)4* -

Given: f(x) = x³ + 2x² (x - 1)²¹ with f'(x) = x³ - 3x² - 4x (x − 1)³ - and f"(x) = 14x + 4 (x − 1)4* -

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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C. Construct a table of signs for f' and f". Specify the following: i. the intervals on which the graph f is increasing, decreasing, concave up, and concave down, and ii. the values of x at which f has relative extrema, inflection points, and vertical asymp- totes (if any).
Transcribed Image Text:C. Construct a table of signs for f' and f". Specify the following: i. the intervals on which the graph f is increasing, decreasing, concave up, and concave down, and ii. the values of x at which f has relative extrema, inflection points, and vertical asymp- totes (if any).
2. Given: f(x) = x³ + 2x² (x - 1)² ¹ with f'(x): - x³ - 3x² - 4x (x - 1)³ and f"(x) = 14x + 4 (x - 1)4*
Transcribed Image Text:2. Given: f(x) = x³ + 2x² (x - 1)² ¹ with f'(x): - x³ - 3x² - 4x (x - 1)³ and f"(x) = 14x + 4 (x - 1)4*
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