What is the main topic of this lesson?

Exploring Second Derivatives of Parametric Equations

Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Hard

Aiden Montgomery
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Second derivative of parametric equations
Integration of parametric equations
Limits of parametric equations
First derivative of parametric equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the second derivative of a parametric equation?
Find the second derivative of y with respect to x
Find the first derivative of y with respect to x
Find the first derivative of y with respect to t
Find the second derivative of x with respect to t
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common mistake when finding the second derivative?
Not using the chain rule
Incorrectly simplifying the first derivative
Forgetting to include x prime of t in the denominator
Forgetting to take the derivative of y with respect to t
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the simplified form of dy/dx?
t^(3/2)
2t^(3/2)
t^(1/2)
2t^(1/2)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the second derivative of y with respect to x in the first example?
3t
3t^(1/2)
6t^(1/2)
6t
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the simplified form of dy/dx?
4/3 cot(t)
-4/3 tan(t)
-4/3 cot(t)
4/3 tan(t)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the second derivative of y with respect to x in the second example?
-4/9 sec^3(t)
4/9 sec^3(t)
4/9 cosec^3(t)
-4/9 cosec^3(t)
Create a free account and access millions of resources
Similar Resources on Wayground
11 questions
Understanding Derivatives and Concavity

Interactive video
•
9th - 10th Grade
11 questions
Exploring Implicit Derivatives in Mathematics

Interactive video
•
6th - 10th Grade
11 questions
Derivatives of Composites and the Chain Rule

Interactive video
•
6th - 10th Grade
11 questions
Interpreting Derivatives as Slope of Curves

Interactive video
•
6th - 10th Grade
11 questions
Parametric Equations and Trigonometric Derivatives

Interactive video
•
9th - 10th Grade
11 questions
Parametric Equations and Graphing Techniques

Interactive video
•
8th - 12th Grade
11 questions
Understanding Derivatives and Notation

Interactive video
•
9th - 10th Grade
11 questions
Analyzing Function Behavior and Derivatives

Interactive video
•
9th - 10th Grade
Popular Resources on Wayground
25 questions
Equations of Circles

Quiz
•
10th - 11th Grade
30 questions
Week 5 Memory Builder 1 (Multiplication and Division Facts)

Quiz
•
9th Grade
33 questions
Unit 3 Summative - Summer School: Immune System

Quiz
•
10th Grade
10 questions
Writing and Identifying Ratios Practice

Quiz
•
5th - 6th Grade
36 questions
Prime and Composite Numbers

Quiz
•
5th Grade
14 questions
Exterior and Interior angles of Polygons

Quiz
•
8th Grade
37 questions
Camp Re-cap Week 1 (no regression)

Quiz
•
9th - 12th Grade
46 questions
Biology Semester 1 Review

Quiz
•
10th Grade
Discover more resources for Mathematics
25 questions
Equations of Circles

Quiz
•
10th - 11th Grade
30 questions
Week 5 Memory Builder 1 (Multiplication and Division Facts)

Quiz
•
9th Grade
10 questions
Writing and Identifying Ratios Practice

Quiz
•
5th - 6th Grade
14 questions
Exterior and Interior angles of Polygons

Quiz
•
8th Grade
37 questions
Camp Re-cap Week 1 (no regression)

Quiz
•
9th - 12th Grade