10. Find all first partial derivatives of $f(x,y) = 2x^2 + 6xy$ 11. Find the total differential $w = \frac{3x+y}{2x+2y}$
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To find $\frac{\partial f}{\partial x}$, we treat $y$ as a constant and differentiate with respect to $x$: $\frac{\partial f}{\partial x} = \frac{\partial}{\partial x}(2x^2 + 6xy)$ $\frac{\partial f}{\partial x} = \frac{\partial}{\partial x}(2x^2) + Show more…
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