Implicit differentiation
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Harry Yang
FREE Resource
9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative dy/dx of the equation x^3 + y^3 = 8?
-x^2/y^2
x^2/y^2
-3x^2/3y^2
3x^2/3y^2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find dy/dx for the equation x^2 + 2xy + y^2 = 5.
(x+y)/(x+y)
-(x+y)/(x+y)
-1
1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Determine dy/dx for the equation 5xy - y^3 = 8.
(5y)/(5x - 3y^2)
(-5y)/(5x - 3y^2)
(5y)/(3y^2 - 5x)
(-5y)/(3y^2 - 5x)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative dy/dx of the equation tan(xy) = 7?
y/x
-y/x
x/y
-x/y
5.
MULTIPLE CHOICE QUESTION
30 sec • Ungraded
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6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first derivative, dy/dx, of the equation tan(xy) = 7?
y/x
-y/x
x/y
-x/y
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Before differentiating 36 = sqrt(x^2 + y^2), what is the simplified form of the equation after squaring both sides?
36 = x + y
1296 = x^2 + y^2
36^2 = x^2 - y^2
1296 = (x+y)^2
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