Implicit differentiation using power rule

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the sum property of differentiation allow you to do?
Distribute derivatives across terms
Subtract derivatives from each other
Add constants to derivatives
Multiply derivatives by constants
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When taking the derivative of a term where the variables match, what is the result?
The derivative is the square of the variable
The derivative is the variable itself
The derivative is 0
The derivative is 1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you take the derivative of a term with mismatched variables?
You add a constant
You include dy/dx
You multiply by dx/dy
You ignore the term
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of differentiation, what does dy/dx represent?
The rate of change of y with respect to x
The sum of y and x
The product of y and x
The difference between y and x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to consider variable matching in differentiation?
To correctly apply the sum property
To ensure the derivative is always zero
To avoid multiplying by zero
To determine the correct derivative form
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