What is the fundamental concept of derivative?

Calculus Quiz

Quiz
•
Mathematics
•
12th Grade
•
Hard

Awol Yimer
FREE Resource
Student preview

24 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Incremental change
Total change
Average rate of change
Instantaneous rate of change
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the slope of a tangent line to a function be calculated?
By calculating the total change
By taking the integral of the function
By finding the average rate of change over an interval
As the derivative of the function at the point of tangency
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of finding the derivative of a function?
To determine the instantaneous rate of change
To estimate the total change
To calculate the total area under the curve
To find the average rate of change
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the average rate of change calculated between two points on a function?
By finding the maximum function value
By subtracting the function values
By taking the square root of the function values
By dividing the change in the dependent variable by the change in the independent variable
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the slope of a secant line represent?
Instantaneous rate of change
Incremental change
Average rate of change
Total change
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the instantaneous rate of change be estimated using the average rate of change?
By making the second point closer to the first point
By adding more points
By moving the points further apart
By changing the function values
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of a function at a specific point?
The total area under the curve
The slope of the tangent line to the function at that point
The maximum function value
The average rate of change over an interval
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