Calculus Derivatives and Rules
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Emma Peterson
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in logarithmic differentiation?
Set the expression equal to y
Take the derivative of both sides
Add a constant to both sides
Multiply both sides by x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is used to differentiate ln(x^2)?
Product Rule
Quotient Rule
Chain Rule
Power Rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you simplify the expression 2 ln(x) / x?
Divide by 2
Add exponents
Multiply by x
Subtract exponents
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of ln(y) with respect to x?
1/y
dy/dx
1/y * dy/dx
y * dy/dx
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is applied when differentiating a product of two functions?
Product Rule
Power Rule
Chain Rule
Quotient Rule
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of e^x * ln(x) using the product rule?
e^x * ln(x) + e^x/x
e^x * ln(x) - e^x/x
e^x * ln(x) * x
e^x / ln(x)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of x raised to the e^x, what is the first step?
Add e^x to both sides
Take the natural log of both sides
Multiply by e^x
Subtract e^x from both sides
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