$$7x^{5}\times6x^{6}$$
$42x^{11}$
$$7x^{11}\times 6$$
$$42x^{11}$$
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$462x^{10}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(7x^{11}\times 6)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(42x^{11})$$
$$11\times 42x^{11-1}$$
$$462x^{11-1}$$
$$462x^{10}$$