Derivatives of Functions in Parametric Forms

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Mathematics
•
9th - 10th Grade
•
Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of a parameter in parametric functions?
It is used to express the relationship between two variables.
It is the integral of the function.
It is the derivative of the function.
It acts as a constant in the function.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is used to find the derivative of parametric functions?
Power Rule
Chain Rule
Quotient Rule
Product Rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example where x = a sin(θ) and y = a cos(θ), what is the derivative dy/dx?
tan(θ)
-cos(θ)
-tan(θ)
sin(θ)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the parametric equations x = kt² and y = 2kt, what is the derivative dy/dx?
t²
1/t
2k
2t
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example with x and y in terms of θ, what is the expression for dy/dx?
sec(θ) + tan(θ)
tan(θ) - sec(θ)
sin(θ) - cos(θ)
cos(θ) + sin(θ)
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