
Chain Rule and Logarithmic Derivatives

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Aiden Montgomery
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the base of the natural logarithm ln(x)?
π
e
2
10
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it useful to rewrite logarithmic equations as exponential equations?
It makes the equations longer.
It helps in solving problems by transforming them into a more familiar form.
It makes the equations more complex.
It changes the base of the logarithm.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of differentiating x with respect to x?
0
x
1
x^2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical rule is used to differentiate composite functions?
Product Rule
Power Rule
Quotient Rule
Chain Rule
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the chain rule, what is the derivative of the inside function f(x) if f(x) is unknown?
f(x)
f'(x)
x
1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of e^f(x) with respect to x?
1
f'(x) * e^f(x)
f(x) * e^f(x)
e^f(x)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of using the chain rule in calculus?
It changes the function's base.
It is used for integration.
It allows differentiation of composite functions.
It simplifies addition.
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