Calculus - MultivariableCalculus - quiz1

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

xy y 1 x

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

y xy 1 x

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 $xyz \frac{\partial}{\partial x}$

yz xyz xy xz

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

yz xy xz xyz

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

xz xy xyz yz

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

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

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

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

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

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

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

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

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