please answer b) c) and d) 2.a.C.Determine the critical number(s) for the following functions.f(x) 176x + 12x²f(x)=x²-3x+2b.f(x)=x√x - 1C.d(t) = ²+1

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Answered: 2. a. C. Determine the critical…

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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Question

please answer b) c) and d)

2.
a.
C.
Determine the critical number(s) for the following functions.
f(x) 176x + 12x²
f(x)=x²-3x+2
b.
f(x)=x√x - 1
C.
d(t) = ²+1

Expert Solution

Step 1: The given function is:

$table row cell stretchy left parenthesis a stretchy right parenthesis italic space f stretchy left parenthesis x stretchy right parenthesis end cell italic equals cell x to the power of italic 3 italic minus italic 3 x italic plus italic 2 end cell row cell stretchy left parenthesis c stretchy right parenthesis italic space f stretchy left parenthesis x stretchy right parenthesis end cell italic equals cell x square root of x italic minus italic 1 end root end cell row cell stretchy left parenthesis d stretchy right parenthesis italic space d stretchy left parenthesis t stretchy right parenthesis end cell italic equals cell fraction numerator t over denominator t to the power of italic 2 italic plus italic 1 end fraction end cell end table$