
Partial Derivatives and Functions
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Standards-aligned
Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the function f(x, y) given in the problem?
f(x, y) = x + y
f(x, y) = sin(x + y)
f(x, y) = cos(x + y)
f(x, y) = tan(x + y)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which rule is applied to find the partial derivatives of f with respect to s and t?
Quotient Rule
Power Rule
Product Rule
Chain Rule
Tags
CCSS.6.EE.C.9
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of f with respect to x when y is treated as a constant?
x + y
tan(x + y)
cos(x + y)
sin(x + y)
Tags
CCSS.6.EE.C.9
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for x in terms of s and t?
x = s + t
x = 5s - 6t
x = s^5 t^6
x = s^5 + t^6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What common factor can be factored out from the partial derivative of f with respect to s?
5 (s^5 t^6 + 5s - 6t)
5 tan(s^5 t^6 + 5s - 6t)
5 cos(s^5 t^6 + 5s - 6t)
5 sin(s^5 t^6 + 5s - 6t)
Tags
CCSS.6.EE.C.9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the partial derivative of f with respect to y when x is treated as a constant?
x + y
tan(x + y)
cos(x + y)
sin(x + y)
Tags
CCSS.6.EE.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for y in terms of s and t?
y = s^5 t^6
y = s^5 + t^6
y = 5s - 6t
y = s + t
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