Consider the following function on the given interval. f(t) = t - Vt, [-1, 6] Find the derivative of the function. 1 1 - f'(t) = 3t Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 1 1 t = 3 3 Find the absolute maximum and absolute minimum values of f on the given interval. absolute minimum value 3 3 absolute maximum value

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 on the given interval.
f(t) = t -
:- Vt, [-1, 6]
Find the derivative of the function.
1
f'(t)
3t
Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
1
1
,0
t =
3
2
3
Find the absolute maximum and absolute minimum values of f on the given interval.
2
absolute minimum value
3
3
absolute maximum value
Transcribed Image Text:Consider the following function on the given interval. f(t) = t - :- Vt, [-1, 6] Find the derivative of the function. 1 f'(t) 3t Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 1 1 ,0 t = 3 2 3 Find the absolute maximum and absolute minimum values of f on the given interval. 2 absolute minimum value 3 3 absolute maximum value
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