$$\frac{x^{2}}{x+y}+\frac{xy}{x+y}$$
$x$
$$\frac{x^{2}+xy}{x+y}$$
$$\frac{x\left(x+y\right)}{x+y}$$
$$x$$
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$1$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}+xy}{x+y})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\left(x+y\right)}{x+y})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x)$$
$$x^{1-1}$$
$$x^{0}$$
$$1$$
