
Differentiation of Exponential and Logarithmic Functions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of e^x?
x^e
ln(x)
1/x
e^x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If f(x) = a^x, what is the derivative of f(x)?
a^x * ln(a)
x^a
a^x
ln(a)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is applied when differentiating a function like e^(cos(x^2))?
Quotient Rule
Chain Rule
Product Rule
Power Rule
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of ln(x)?
e^x
x
1/x
ln(x)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the derivative of log base b of x?
1/(x ln(b))
1/x
ln(x)/b
b^x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of ln(tan(x^2 - 5x))?
sec^2(x^2 - 5x) * (2x - 5) / tan(x^2 - 5x)
1/(tan(x^2 - 5x))
tan(x^2 - 5x)
sec(x^2 - 5x)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the benefit of using logarithms in differentiation?
No benefit
Increases complexity
Only for exponential functions
Simplifies complex expressions
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