What is the first step in finding the derivative of a natural log function in its current form?

Understanding Derivatives of Natural Log Functions

Interactive Video
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Mathematics
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11th Grade - University
•
Hard

Amelia Wright
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Apply the product rule
Use integration by parts
Differentiate directly
Use the chain rule
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the square root be rewritten to simplify the derivative process?
As a logarithm
As a rational exponent
As a polynomial
As a constant
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What property of logarithms allows us to express the function as a difference of two logs?
Product property
Power property
Quotient property
Change of base property
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inner function 'U' when applying the chain rule to the natural log of 3X to the 4th + 2?
3X to the 4th + 2
4X
1/2
Natural log of 3X
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the natural log of a function U?
1/U squared
1/U times U prime
U prime times U
U squared
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of distributing the 1/2 in the expression before finding the derivative?
To change the base of the logarithm
To eliminate the logarithm
To make the function continuous
To simplify the expression
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the natural log of 4X?
Natural log of 4
1/2X
4X
1/4X times 4
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