
Understanding Derivatives with Chain and Product Rules

Interactive Video
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Mathematics
•
11th Grade - University
•
Hard

Jackson Turner
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical rules are being used to find the derivative of the given expression?
Difference rule and chain rule
Sum rule and chain rule
Product rule and chain rule
Quotient rule and chain rule
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the product rule, what is the first function in the expression?
e to the cosine of x
Sine of x
e to the x
Cosine of e to the x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of e to the cosine of x with respect to x?
e to the x times negative sine of x
e to the x times cosine of x
e to the cosine of x times negative sine of x
e to the cosine of x times sine of x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of the chain rule in finding the derivative of e to the cosine of x?
It helps in differentiating the outer function only.
It helps in differentiating the inner function only.
It helps in differentiating both the outer and inner functions.
It is not used in this differentiation.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which color was used to represent the derivative of e to the cosine of x?
Magenta
Red
Blue
Green
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of cosine of e to the x with respect to x?
Negative cosine of e to the x times e to the x
Sine of e to the x times e to the x
Negative sine of e to the x times e to the x
Cosine of e to the x times e to the x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of cosine of something with respect to that something?
Sine of that something
Cosine of that something
Negative sine of that something
Negative cosine of that something
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