Bush Tran

09/29/2024 · Middle School

Let \( f(x, y)=2 x^{2} y+x y^{4} \). Find \( \frac{\partial^{2} f}{\partial x^{2}}, \frac{\partial^{2} f}{\partial y^{2}}, \frac{\partial^{2} f}{\partial x \partial y} \), and \( \frac{\partial^{2} f}{\partial y \partial x} \) \( \frac{\partial^{2} f}{\partial x^{2}}=4 y \) \( \frac{\partial^{2} f}{\partial y^{2}}=12 x y^{2} \) \( \frac{\partial^{2} f}{\partial x \partial y}= \)