Calculus - MultivariableCalculus - quiz1

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

xy 1 x y

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

xy y x 1

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

xy 1 x+y 0

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

xz xyz xy yz

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

yz xyz xz xy

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 $x^2y^2 \frac{\partial}{\partial x}$

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

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

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

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

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

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

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

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