
Understanding Derivatives of Exponential and Logarithmic Functions

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of e^x with respect to x?
e^x
x^e
1
0
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is used to find the derivative of ln(x)?
Implicit differentiation
Product rule
Quotient rule
Integration by parts
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of ln(x) with respect to x?
e^x
ln(x)
1/x
x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When differentiating e^(3x), what additional step is necessary?
Subtract 3
Add 3
Divide by 3
Multiply by 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is applied when differentiating a product of functions?
Implicit differentiation
Chain rule
Quotient rule
Product rule
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify the derivative of ln(4x)?
ln(4x)
4/x
1/x
4ln(x)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of ln(cos(x))?
sin(x)
-cos(x)
tan(x)
-tan(x)
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