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?
