Consider the following function where a is a positive constant. f(x) = x + a√√x (a) Select the critical point(s) of f.

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 following function where a is a positive constant.
f(x) = x + a√√x
(a) Select the critical point(s) of f.
O
O
x =
Ox=0
0x =
O
3
11
4
I
782
a
1+
x = 0.
0224
a
Transcribed Image Text:Consider the following function where a is a positive constant. f(x) = x + a√√x (a) Select the critical point(s) of f. O O x = Ox=0 0x = O 3 11 4 I 782 a 1+ x = 0. 0224 a
Find the global maximum and minimum for the function on the closed interval.
f(x) = x² - 8x²
-3 ≤ x ≤ 1
The global minimum at x =
is
Transcribed Image Text:Find the global maximum and minimum for the function on the closed interval. f(x) = x² - 8x² -3 ≤ x ≤ 1 The global minimum at x = is
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