The function f, its first derivative, and second derivative are shown below. f(x) = 14ln(x) - 5x2 f'(x) = 14 - 10x² X (a) Find the critical point of f. X= (b) Evaluate f" at the critical point you obtained in (a). at the critical point is: f"(x) = (c) What is the concavity of f at the critical point you found in part (b)? Concave -Select-- - 14-10 (d) Using the Second Derivative Test, we can say that the critical point of f obtained in pa
The function f, its first derivative, and second derivative are shown below. f(x) = 14ln(x) - 5x2 f'(x) = 14 - 10x² X (a) Find the critical point of f. X= (b) Evaluate f" at the critical point you obtained in (a). at the critical point is: f"(x) = (c) What is the concavity of f at the critical point you found in part (b)? Concave -Select-- - 14-10 (d) Using the Second Derivative Test, we can say that the critical point of f obtained in pa
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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![The function f, its first derivative, and second derivative are shown below.
f(x) = 14in(x) - 5x²
f'(x): 14 - 10x²
X
(a) Find the critical point of f.
(b) Evaluate f" at the critical point you obtained in (a).
f" at the critical point is:
=
Concave -Select--
(c) What is the concavity of f at the critical point you found in part (b)?
F"(x) = - 14 - 10
-Select-
(d) Using the Second Derivative Test, we can say that the critical point of f obtained in part (a)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8ba3a71-d749-40cb-a922-6232b6a4906b%2F68286da1-6329-4c10-a5e8-ee75d5a4f4e7%2Ffnhzepo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The function f, its first derivative, and second derivative are shown below.
f(x) = 14in(x) - 5x²
f'(x): 14 - 10x²
X
(a) Find the critical point of f.
(b) Evaluate f" at the critical point you obtained in (a).
f" at the critical point is:
=
Concave -Select--
(c) What is the concavity of f at the critical point you found in part (b)?
F"(x) = - 14 - 10
-Select-
(d) Using the Second Derivative Test, we can say that the critical point of f obtained in part (a)
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