Gradient Vector and Partial Derivatives
Interactive Video
•
Mathematics, Science
•
10th - 12th Grade
•
Practice Problem
•
Hard
Amelia Wright
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x component of the gradient vector field?
Partial derivative of f with respect to z
Partial derivative of f with respect to y
Partial derivative of f with respect to x
Partial derivative of f with respect to a constant
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is applied to find each partial derivative of the function?
Quotient rule
Chain rule
Power rule
Product rule
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of f with respect to x?
3z squared times e raised to the power of the function
4y times e raised to the power of the function
4x times e raised to the power of the function
e raised to the power of the function
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of f with respect to y?
e raised to the power of the function
4 times e raised to the power of the function
4x times e raised to the power of the function
3z squared times e raised to the power of the function
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of f with respect to z?
4 times e raised to the power of the function
e raised to the power of the function
3z squared times e raised to the power of the function
4x times e raised to the power of the function
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the exponent on e when calculating the gradient vector at the point (2, -1, -1)?
Two
Negative three
Positive three
Zero
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x component of the gradient vector at the point (2, -1, -1)?
2 e to the third
3 e to the third
8 e to the third
4 e to the third
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