
Understanding Derivatives Using the Limit Definition

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit definition of the derivative?
The limit as x approaches 0 of f(x) divided by x
The limit as x approaches infinity of f(x) divided by x
The limit as h approaches 0 of f(x+h) minus f(x) divided by h
The limit as h approaches infinity of f(x+h) minus f(x) divided by h
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the linear function f(x) = 5x - 4?
1
0
4
5
Tags
CCSS.HSF.IF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find f(x+h) for f(x) = x^2?
Replace x with h
Replace x with x+h
Add h to the function
Multiply the function by h
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of f(x) = x^2 using the limit definition?
2
2x
x^2
x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the derivative of f(x) = 1/x using the limit definition?
Multiply by the conjugate
Find the common denominator
Subtract h from the function
Add h to the function
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of f(x) = 1/x?
-1/x^2
1/x^2
-x^2
x^2
Tags
CCSS.HSN.RN.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify expressions with radicals in the numerator?
Add the radicals
Subtract the radicals
Divide by the conjugate
Multiply by the conjugate
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