Calculus - MultivariableCalculus - quiz1

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 x xy 1

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

0 xy x+y 1

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

yz xy xyz xz

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

xyz yz xz xy

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

yz xy xyz xz

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

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

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

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

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

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

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