Question 1: What is the partial derivative of $xy \frac{\partial}{\partial x}$
y
1
x
xy
Question 2: What is the partial derivative of $xy \frac{\partial}{\partial y}$
y
1
xy
x
Question 3: What is the partial derivative of $xy \frac{\partial}{\partial z}$
x+y
xy
0
1
Question 4: What is the partial derivative of $xyz \frac{\partial}{\partial x}$
xy
xz
xyz
yz
Question 5: What is the partial derivative of $xyz \frac{\partial}{\partial y}$
xz
xy
xyz
yz
Question 6: What is the partial derivate of $xyz \frac{\partial}{\partial z}$
yz
xyz
xz
xy
Question 7: What is the partial derivative of $x^2y^2 \frac{\partial}{\partial x}$
2xy
x^2y
2xy^2
2x^2y
Question 8: What is the partial derivative of $x^2y^2 \frac{\partial}{\partial y}$
2xy
2x^2y
x^2y
2xy^2
Question 9: What is the partial derivative of $x^3y \frac{\partial}{\partial x}$
x^2y
3x^3
3x^2y
3xy
Question 10: What is the partial derivative of $x^3y \frac{\partial}{\partial y}$
3x^2y
y
x^2
x^3
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