2. (4 pts each) Compute $f_x$ and $f_y$. Simplify. (a) $f(x,y) = x(x^2 + 3y^2)^9$ (b) $f(x,y) = int_{2y}^{sin x} e^{-4t} dt$
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Similarly, to compute f_y, we differentiate f(x, y) with respect to y while treating x as a constant. So, let's start with f_x: f_x = d/dx (x^2 + 3y^2) Differentiating x^2 with respect to x gives us 2x. Since y^2 is treated as a constant, its derivative with Show more…
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