$$4x^{4}-10x-9-10/2x-3$$
$4x^{4}-15x-12$
$$4x^{4}-10x-9-5x-3$$
$$4x^{4}-15x-9-3$$
$$4x^{4}-15x-12$$
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$16x^{3}-15$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{4}-10x-9-5x-3)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{4}-15x-9-3)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{4}-15x-12)$$
$$4\times 4x^{4-1}-15x^{1-1}$$
$$16x^{4-1}-15x^{1-1}$$
$$16x^{3}-15x^{1-1}$$
$$16x^{3}-15x^{0}$$
$$16x^{3}-15$$