
Finding Derivatives Using Limits
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Olivia Brooks
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of computing the difference quotient when finding a derivative?
To calculate the area under a curve
To solve a differential equation
To determine the slope of the tangent line
To find the integral of a function
Tags
CCSS.HSA.REI.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function used in the example to find the derivative?
6x^5
5x^3
4x^4
3x^2
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the difference quotient, what do you replace x with?
x - y
x - h
x + h
x + y
Tags
CCSS.HSA.APR.C.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expanded form of (x + h)^3?
x^3 + 2x^2h + h^3
x^3 + 3x^2h + 3xh^2 + h^3
x^3 + x^2h + h^3
x^3 + 3xh + h^3
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the terms 5x^3 and -5x^3 in the difference quotient?
They cancel each other out
They are multiplied
They are divided
They are added together
Tags
CCSS.6.EE.A.2C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is factored out from the numerator in the difference quotient?
5
x^2
h
x
Tags
CCSS.6.EE.A.2C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the limit of 15xh as h approaches zero?
0
15xh
15x
15x^2
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