
Calculus Concepts and Theorems
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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16 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the condition for a limit to exist at a point?
The function must have a horizontal asymptote.
The limit from the left and right must approach the same value.
The function must be continuous at that point.
The function must be differentiable at that point.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is used when evaluating limits that result in 0/0 or infinity/infinity?
Quotient Rule
L'Hôpital's Rule
Chain Rule
Product Rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean for a function to be continuous at a point?
The function has a horizontal asymptote at that point.
The function has no breaks or gaps at that point.
The function is increasing at that point.
The function has a derivative at that point.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit definition of a derivative primarily used for?
Finding the area under a curve
Solving differential equations
Understanding the concept of a derivative
Calculating integrals
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When is a function not differentiable?
When it has a corner or cusp
All of the above
When it is not continuous
When it has a vertical tangent line
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of implicit differentiation?
To calculate Riemann sums
To solve optimization problems
To find the area between curves
To differentiate functions that are not explicitly solved for y
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is logarithmic differentiation used for?
Finding the derivative of a product
Differentiating functions raised to a power
Differentiating functions with logarithms
Solving differential equations
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