$$(3x^{2}+5x-4)+(6x^{4}-x+2)$$
$6x^{4}+3x^{2}+4x-2$
$$3x^{2}+4x-4+6x^{4}+2$$
$$3x^{2}+4x-2+6x^{4}$$
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$24x^{3}+6x+4$
$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}+4x-4+6x^{4}+2)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}+4x-2+6x^{4})$$
$$2\times 3x^{2-1}+4x^{1-1}+4\times 6x^{4-1}$$
$$6x^{2-1}+4x^{1-1}+4\times 6x^{4-1}$$
$$6x^{1}+4x^{1-1}+4\times 6x^{4-1}$$
$$6x^{1}+4x^{0}+4\times 6x^{4-1}$$
$$6x^{1}+4x^{0}+24x^{4-1}$$
$$6x^{1}+4x^{0}+24x^{3}$$
$$6x+4x^{0}+24x^{3}$$
$$6x+4\times 1+24x^{3}$$
$$6x+4+24x^{3}$$
