(i) Let ƒ be the function defined on (-o, 0) by f(x) = r$(3 – x)}. (2 – x) -2 Given that f'(x) = and f"(x) = (3 – x) r} (3 – x) g

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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question b

(i) Let ƒ be the function defined on (-∞, ∞) by
f(x) = x3(3 – x)}.
(2 – x)
-2
Given that f'(x)
and f"(x)
- x) x
(3 – x)} rf°
(3 –
(a) Find the intervals on which f is increasing and decreasing.
(b) Find the local maximum and minimum points of f.
Transcribed Image Text:(i) Let ƒ be the function defined on (-∞, ∞) by f(x) = x3(3 – x)}. (2 – x) -2 Given that f'(x) and f"(x) - x) x (3 – x)} rf° (3 – (a) Find the intervals on which f is increasing and decreasing. (b) Find the local maximum and minimum points of f.
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