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- (²-6) 2/3 1. Sketch the graph of f(x) = f'(x) = with 4 x5/³(x-6)¹/3 Your work should consider the following: (a) the domain (b) the x- and y- intercepts (c) the vertical and horizontal asymptotes, if any. Evaluate all relevant limits. and f"(x) = -8(x - 5) x8/3(x-6)4/3

- (²-6) 2/3 1. Sketch the graph of f(x) = f'(x) = with 4 x5/³(x-6)¹/3 Your work should consider the following: (a) the domain (b) the x- and y- intercepts (c) the vertical and horizontal asymptotes, if any. Evaluate all relevant limits. and f"(x) = -8(x - 5) x8/3(x-6)4/3

Calculus: Early Transcendentals
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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1. Sketch the graph of f(x) 4 f'(x) x5/3(x-6)1/3 Your work should consider the following: (a) the domain (b) the x- and y- intercepts (c) the vertical and horizontal asymptotes, if any. Evaluate all relevant limits. (d) calculation of the first derivative of f and the critical numbers of f if any. (e) the open intervals where f(x) is increasing and/or decreasing and its local extrema points if any. = (²-6) ²/2 with and f"(x) -8(x - 5) x8/3(x - 6)4/3 (f) the open intervals where f(x) is concave up and/or concave down and its inflection points if any. (g) Identify all the features of the function you have found and clearly label the coordinates of the local extrema and inflection points on the graph.
Transcribed Image Text:1. Sketch the graph of f(x) 4 f'(x) x5/3(x-6)1/3 Your work should consider the following: (a) the domain (b) the x- and y- intercepts (c) the vertical and horizontal asymptotes, if any. Evaluate all relevant limits. (d) calculation of the first derivative of f and the critical numbers of f if any. (e) the open intervals where f(x) is increasing and/or decreasing and its local extrema points if any. = (²-6) ²/2 with and f"(x) -8(x - 5) x8/3(x - 6)4/3 (f) the open intervals where f(x) is concave up and/or concave down and its inflection points if any. (g) Identify all the features of the function you have found and clearly label the coordinates of the local extrema and inflection points on the graph.
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