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Consider the function f(x): = x² + 4x + 3 x-3 a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase.

Consider the function f(x): = x² + 4x + 3 x-3 a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase.

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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Consider the function f(x) = x² + 4x + 3 X - 3 a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease. e. Find the second derivative. f''(x) · = f. Based on parts b through e, f(x) has a maximum of Y = g. Based on parts b through e, f(x) has a minimum of y = when x = h. Use the second derivative to identify intervals where f(x) is concave up. when x = i. Use the second derivative to identify intervals where f(x) is concave down. j. Use the second derivative to find any inflection points. k. State any vertical asymptotes. 1. State any slant asymptotes {use long division of polynomials}.
Transcribed Image Text:Consider the function f(x) = x² + 4x + 3 X - 3 a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease. e. Find the second derivative. f''(x) · = f. Based on parts b through e, f(x) has a maximum of Y = g. Based on parts b through e, f(x) has a minimum of y = when x = h. Use the second derivative to identify intervals where f(x) is concave up. when x = i. Use the second derivative to identify intervals where f(x) is concave down. j. Use the second derivative to find any inflection points. k. State any vertical asymptotes. 1. State any slant asymptotes {use long division of polynomials}.
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