$$\frac{ 8 { x }^{ 2 } z }{ 10x { y }^{ 2 } }$$
$\frac{4z}{5y^{2}}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8z}{10y^{2}}x^{2-1})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4z}{5y^{2}}x^{1})$$
$$\frac{4z}{5y^{2}}x^{1-1}$$
$$\frac{4z}{5y^{2}}x^{0}$$
$$\frac{4z}{5y^{2}}\times 1$$
$$\frac{4z}{5y^{2}}$$
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$\frac{4xz}{5y^{2}}$
$$\frac{4xz}{5y^{2}}$$