$$\frac{ 21 \times 20 \times 19 \times 18 \times 17 \times 16 }{ 1 \times 2 \times 3 \times 4 \times 5 \times 6 } { x }^{ 21-6 }$$
$54264x^{15}$
$$3\times 7\times 8\times 17\times 19x^{21-6}$$
$$21\times 8\times 17\times 19x^{21-6}$$
$$168\times 17\times 19x^{21-6}$$
$$2856\times 19x^{21-6}$$
$$54264x^{21-6}$$
$$54264x^{15}$$
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$813960x^{14}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(3\times 7\times 8\times 17\times 19x^{21-6})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(21\times 8\times 17\times 19x^{21-6})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(168\times 17\times 19x^{21-6})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(2856\times 19x^{21-6})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(54264x^{21-6})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(54264x^{15})$$
$$15\times 54264x^{15-1}$$
$$813960x^{15-1}$$
$$813960x^{14}$$