APMA 2120 Multivariable Calculus
Pre-Class Questions
Name:_______________________________________
1. What is the partial derivative of 𝑓(𝑥, 𝑦) = 𝑥 2 𝑦 2 with respect to 𝑥?
𝑥
2. What is the partial derivative of 𝑓(𝑥, 𝑦) = 𝑦 with respect to 𝑦?
3. How many third partial derivatives would a function 𝑓(𝑥, 𝑦) have?
4. How many second partial derivatives would a function 𝑓(𝑥, 𝑦, 𝑧) have?