Calculus - MultivariableCalculus - quiz1

Question 1: What is the partial derivative of $xy \frac{\partial}{\partial x}$

1 y x xy

Question 2: What is the partial derivative of $xy \frac{\partial}{\partial y}$

1 y x xy

Question 3: What is the partial derivative of $xy \frac{\partial}{\partial z}$

x+y 1 xy 0

Question 4: What is the partial derivative of $xyz \frac{\partial}{\partial x}$

xyz xy yz xz

Question 5: What is the partial derivative of $xyz \frac{\partial}{\partial y}$

xz yz xy xyz

Question 6: What is the partial derivate of $xyz \frac{\partial}{\partial z}$

xz xy yz xyz

Question 7: What is the partial derivative of $x^2y^2 \frac{\partial}{\partial x}$

2x^2y 2xy x^2y 2xy^2

Question 8: What is the partial derivative of $x^2y^2 \frac{\partial}{\partial y}$

x^2y 2x^2y 2xy 2xy^2

Question 9: What is the partial derivative of $x^3y \frac{\partial}{\partial x}$

3x^3 3xy x^2y 3x^2y

Question 10: What is the partial derivative of $x^3y \frac{\partial}{\partial y}$

y x^3 x^2 3x^2y

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