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A function f and its derivative f' are shown below. Assume a is a nonzero constant. Note: a is a lowercase letter. f(x) = ax² - 7x².In(x) + 7x² 2 2 4 (a) Determine the exact value of the critical point of f. Your answer may contain a. X = (b) Determine f"(x). f'(x) = ax - 7xln(x) f"(x) = (c) Evaluate f" at the critical point you found in part (a). f" (critical pt) =

A function f and its derivative f' are shown below. Assume a is a nonzero constant. Note: a is a lowercase letter. f(x) = ax² - 7x².In(x) + 7x² 2 2 4 (a) Determine the exact value of the critical point of f. Your answer may contain a. X = (b) Determine f"(x). f'(x) = ax - 7xln(x) f"(x) = (c) Evaluate f" at the critical point you found in part (a). f" (critical pt) =

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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A function f and its derivative f' are shown below. Assume a is a nonzero constant. Note: a is a lowercase letter. f(x) = ax² - 7x².In(x)+7x² 2 X = (b) Determine f"(x). (a) Determine the exact value of the critical point of f. Your answer may contain a. f"(x) = 2 f" (critical pt) 4 f'(x) = ax - 7xln(x) (c) Evaluate f" at the critical point you found in part (a). = (d) Apply the 2nd derivative test to the critical point found in part (a). At the critical point, the graph of f is ---Select--- because f" is ---Select--- ✓ there. Therefore, the critical point is a ---Select---
Transcribed Image Text:A function f and its derivative f' are shown below. Assume a is a nonzero constant. Note: a is a lowercase letter. f(x) = ax² - 7x².In(x)+7x² 2 X = (b) Determine f"(x). (a) Determine the exact value of the critical point of f. Your answer may contain a. f"(x) = 2 f" (critical pt) 4 f'(x) = ax - 7xln(x) (c) Evaluate f" at the critical point you found in part (a). = (d) Apply the 2nd derivative test to the critical point found in part (a). At the critical point, the graph of f is ---Select--- because f" is ---Select--- ✓ there. Therefore, the critical point is a ---Select---
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