$$\frac { x ^ { 0 } + x ^ { x ^ { 0 } } } { x ^ { 0 } \sqrt { x ^ { 0 } } }$$
$x+1$
$$\frac{1+x^{x^{0}}}{x^{0}\sqrt{x^{0}}}$$
$$\frac{1+x^{1}}{x^{0}\sqrt{x^{0}}}$$
$$\frac{1+x}{x^{0}\sqrt{x^{0}}}$$
$$\frac{1+x}{1\sqrt{x^{0}}}$$
$$\frac{1+x}{1\sqrt{1}}$$
$$\frac{1+x}{1\times 1}$$
$$\frac{1+x}{1}$$
$$1+x$$
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$1$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1+x^{x^{0}}}{x^{0}\sqrt{x^{0}}})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1+x^{1}}{x^{0}\sqrt{x^{0}}})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1+x}{x^{0}\sqrt{x^{0}}})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1+x}{1\sqrt{x^{0}}})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1+x}{1\sqrt{1}})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1+x}{1\times 1})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1+x}{1})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(1+x)$$
$$x^{1-1}$$
$$x^{0}$$
$$1$$
