Calculus - MultivariableCalculus - quiz1

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

1 xy x y

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 $xy \frac{\partial}{\partial z}$

0 xy 1 x+y

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

xz xy xyz yz

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

xz xy yz xyz

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

xyz xz xy yz

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

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

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

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

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

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

Back to Quizzes