$$4x^{4}+0\cdot x^{3}+0\cdot x^{5}+5x+7$$
$4x^{4}+5x+7$
$$4x^{4}+0+0x^{5}+5x+7$$
$$4x^{4}+0+0+5x+7$$
$$4x^{4}+5x+7$$
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$16x^{3}+5$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{4}+0+0x^{5}+5x+7)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{4}+0+0+5x+7)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{4}+5x+7)$$
$$4\times 4x^{4-1}+5x^{1-1}$$
$$16x^{4-1}+5x^{1-1}$$
$$16x^{3}+5x^{1-1}$$
$$16x^{3}+5x^{0}$$
$$16x^{3}+5\times 1$$
$$16x^{3}+5$$
