Logarithmic Differentiation Concepts
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of logarithmic differentiation?
To differentiate non-logarithmic functions
To simplify trigonometric identities
To solve algebraic equations
To integrate complex functions
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT a key property of logarithms?
Power property
Quotient property
Exponential property
Product property
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In logarithmic differentiation, what is the first step?
Solve for dy/dx
Take the log of both sides
Apply the chain rule
Differentiate the equation
Tags
CCSS.HSA.APR.D.7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When applying logarithmic differentiation, why might it be beneficial to rewrite a square root in rational exponent form?
To simplify integration
To apply the power property of logs
To avoid using the chain rule
To eliminate fractions
Tags
CCSS.HSA.APR.D.7
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the common denominator used to combine fractions?
x plus two
x squared
x squared plus one
x plus two times x squared plus one
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What rule is required in the second example when finding the derivative of both sides?
Power rule
Chain rule
Product rule
Quotient rule
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, how is 'two divided by x' rewritten to facilitate differentiation?
As 2x
As 2x squared
As 2 over x squared
As 2x to the negative one power
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