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x+2 4 e. f'(x) = 1-2, x ±0 f. f'(x) = x-¹/³ (x + 2) -1/3, g. f'(x) = (sin x − 1)(2cos x + 1).0 < x < 2π

x+2 4 e. f'(x) = 1-2, x ±0 f. f'(x) = x-¹/³ (x + 2) -1/3, g. f'(x) = (sin x − 1)(2cos x + 1).0 < x < 2π

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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8. Answer the following questions about the functions whose derivatives are given below. What are the critical points of f ? On what open intervals is f increasing or decreasing? At what points, if any, does ƒ assume local maximum and minimum values? f'(x) = x(x - 1) a. b. f'(x) = (x − 1)²(x + 2) - c. f'(x) = (x - 1)(x + 2)(x − 3) x²(x-1) d. f'(x) x+2 i. ii. iii. = 4 ) x = -2 e. f'(x) = 1 x²₁x=0 f. f'(x) = x−¹/³ (x + 2) g. f'(x) = (sin x − 1)(2cos x + 1),0 ≤ x ≤ 2π
Transcribed Image Text:8. Answer the following questions about the functions whose derivatives are given below. What are the critical points of f ? On what open intervals is f increasing or decreasing? At what points, if any, does ƒ assume local maximum and minimum values? f'(x) = x(x - 1) a. b. f'(x) = (x − 1)²(x + 2) - c. f'(x) = (x - 1)(x + 2)(x − 3) x²(x-1) d. f'(x) x+2 i. ii. iii. = 4 ) x = -2 e. f'(x) = 1 x²₁x=0 f. f'(x) = x−¹/³ (x + 2) g. f'(x) = (sin x − 1)(2cos x + 1),0 ≤ x ≤ 2π
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