

Critical Points and Area Minimization
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Lucas Foster
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main objective of the problem discussed in the video?
To find the minimum combined area of a triangle and a square
To calculate the perimeter of a square
To determine the volume of a cube
To find the maximum area of a triangle
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the critical points of the function?
Using a calculator
Taking the derivative of the function
Graphing the function
Calculating the area
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical operation is used to find where the derivative is zero?
Division
Addition
Multiplication
Subtraction
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What tool is used to calculate the critical point value of x?
A calculator
A compass
A protractor
A ruler
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate value of x that minimizes the area?
25.5
12.5
50.2
39.38
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What test is used to determine if the critical point is a minimum or maximum?
First derivative test
Second derivative test
Third derivative test
Fourth derivative test
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive second derivative indicate about the function?
The function is constant
The function is concave downwards
The function is concave upwards
The function is linear
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