Question
Find $f_{x x}, f_{x y}, f_{y x},$ and $f_{y y}$ (Remember, $f_{y x}$ means to differentiate with respect to $y$ and then with respect to $x$.)$$f(x, y)=e^{2 x y}$$
Step 1
The partial derivative of $f$ with respect to $x$ is given by: $$f_x = \frac{\partial}{\partial x} e^{2xy} = 2y e^{2xy}$$ The partial derivative of $f$ with respect to $y$ is given by: $$f_y = \frac{\partial}{\partial y} e^{2xy} = 2x e^{2xy}$$ Show more…
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