
Advanced Integration Techniques and Derivatives
Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Aiden Montgomery
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of a logarithmic function using the chain rule?
f dash on f
f squared on f dash
f plus f dash
f dash times f
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When differentiating sine inverse of a function, what is the denominator in the resulting expression?
The derivative of the function
1 plus the function squared
1 minus the function squared
The function itself
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key difference in the chain rule for tan inverse compared to sine inverse?
It includes a square root
It is identical to sine inverse
It has a minus sign
It lacks a square root and minus sign
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the integration example using tan inverse, what substitution is suggested for the denominator 1 plus x to the fourth?
x squared
x cubed
x to the fourth
x
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating x over 1 plus x to the fourth using tan inverse?
Log of x plus a constant
Tan inverse of x plus a constant
Half tan inverse of u plus a constant
Sine inverse of x plus a constant
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the advanced integration example, what is the role of the square root in the expression?
It is ignored
It signals the need for a substitution
It is the numerator
It is the final result
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What substitution is used for the square root of x in the advanced example?
u equals x
u equals x squared
u equals x cubed
u equals the square root of x
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