$$4x\times5x^{3}=$$
$20x^{4}$
$$4x^{4}\times 5$$
$$20x^{4}$$
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$80x^{3}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{4}\times 5)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(20x^{4})$$
$$4\times 20x^{4-1}$$
$$80x^{4-1}$$
$$80x^{3}$$
