$$5x \times 6 { x }^{ 7 } \times 9 { x }^{ 5 }$$
$270x^{13}$
$$5x^{8}\times 6\times 9x^{5}$$
$$5x^{13}\times 6\times 9$$
$$30x^{13}\times 9$$
$$270x^{13}$$
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$3510x^{12}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{8}\times 6\times 9x^{5})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{13}\times 6\times 9)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(30x^{13}\times 9)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(270x^{13})$$
$$13\times 270x^{13-1}$$
$$3510x^{13-1}$$
$$3510x^{12}$$