$$5x^{3}-4x^{2}+3; 3x^{3}+7x^{2}-9$$
$14x^{3}+3x^{2}-9$
$$5x^{3}-4x^{2}+9x^{3}+7x^{2}-9$$
$$14x^{3}-4x^{2}+7x^{2}-9$$
$$14x^{3}+3x^{2}-9$$
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$6x\left(7x+1\right)$
$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{3}-4x^{2}+9x^{3}+7x^{2}-9)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(14x^{3}-4x^{2}+7x^{2}-9)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(14x^{3}+3x^{2}-9)$$
$$3\times 14x^{3-1}+2\times 3x^{2-1}$$
$$42x^{3-1}+2\times 3x^{2-1}$$
$$42x^{2}+2\times 3x^{2-1}$$
$$42x^{2}+6x^{2-1}$$
$$42x^{2}+6x^{1}$$
$$42x^{2}+6x$$
