Let f'(x) = ax²+bx+c. Determine the values for a, b, and c so that f(x) has a local maximum at x = 3, a local minimum at x = -5, and f(3) = -8. a=-1, b=-2, c=15 a=1, b=-2, c=15 a=1, b=-2, c=15 None of the above

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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These are 2 subparts not 2 questions please solve both
Let f(x)=(x-1) (x+3).
i). What are the critical numbers?
ii). At what values of x does f(x) have a local maximum? At what values of x does f(x) have a local
minimum?
Critical numbers are x=1 and x=-0.6 f has a local max at -0.6 and a local min at 1
Critical numbers are x=-1 and x=-0.6 f has a local max at -0.6 and a local min at
1
Critical numbers are x=1 and x=0.6 f has a local max at -0.6 and a local min at 1
None of the above
Transcribed Image Text:Let f(x)=(x-1) (x+3). i). What are the critical numbers? ii). At what values of x does f(x) have a local maximum? At what values of x does f(x) have a local minimum? Critical numbers are x=1 and x=-0.6 f has a local max at -0.6 and a local min at 1 Critical numbers are x=-1 and x=-0.6 f has a local max at -0.6 and a local min at 1 Critical numbers are x=1 and x=0.6 f has a local max at -0.6 and a local min at 1 None of the above
Let f'(x) = ax + bx+c. Determine the values for a, b, and c so that f(x) has a local maximum at x = 3,
a local minimum at x = -5, and f(3) = -8.
a=-1, b=-2, c=15
a=1, b=-2, c-15
a=1, b=-2, c=15
None of the above
Transcribed Image Text:Let f'(x) = ax + bx+c. Determine the values for a, b, and c so that f(x) has a local maximum at x = 3, a local minimum at x = -5, and f(3) = -8. a=-1, b=-2, c=15 a=1, b=-2, c-15 a=1, b=-2, c=15 None of the above
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