
Differential and True Change in Functions

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard

Jackson Turner
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of finding the differential of a function at a specific point?
To measure the change in the function along the tangent plane.
To determine the function's rate of growth.
To calculate the integral of the function.
To find the maximum value of the function.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When calculating the partial derivative of a function with respect to x, what is treated as a constant?
y
x
The entire function
z
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of 4x^2 with respect to x?
2x
8x
x^2
4x
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is differential z calculated?
By dividing the partial derivatives by their respective delta values.
By subtracting the partial derivatives of x and y.
By multiplying the partial derivatives by their respective delta values and summing them.
By adding the partial derivatives of x and y.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of differential z calculated in the video?
11.00
9.75
10.25
10.45
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the true change in z determined?
By differentiating the function again.
By evaluating the function at the new point and subtracting the original function value.
By calculating the integral of the function.
By finding the maximum value of the function.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the true change in z from the point (8, 5) to (8.25, 5.05)?
10.45
10.25
11.05
9.85
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