Calculus - MultivariableCalculus - quiz1

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

xy x 1 y

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

xy 1 x y

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

0 x+y 1 xy

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

xyz xz xy yz

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

xyz xz yz xy

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

xy yz xz xyz

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

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

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

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

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

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

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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