Calculus - MultivariableCalculus - quiz1

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

x xy y 1

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

1 xy y x

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

xy 0 1 x+y

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

xz yz xy xyz

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

xy xz xyz yz

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

yz xyz xy xz

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

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

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

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

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

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

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

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

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