$$(3m^{3}-5m^{2}+8m+3)-1m^{3}-7m+11$$
$2m^{3}-5m^{2}+m+14$
$$2m^{3}-5m^{2}+8m+3-7m+11$$
$$2m^{3}-5m^{2}+m+3+11$$
$$2m^{3}-5m^{2}+m+14$$
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$6m^{2}-10m+1$
$$\frac{\mathrm{d}}{\mathrm{d}m}(2m^{3}-5m^{2}+8m+3-7m+11)$$
$$\frac{\mathrm{d}}{\mathrm{d}m}(2m^{3}-5m^{2}+m+3+11)$$
$$\frac{\mathrm{d}}{\mathrm{d}m}(2m^{3}-5m^{2}+m+14)$$
$$3\times 2m^{3-1}+2\left(-5\right)m^{2-1}+m^{1-1}$$
$$6m^{3-1}+2\left(-5\right)m^{2-1}+m^{1-1}$$
$$6m^{2}+2\left(-5\right)m^{2-1}+m^{1-1}$$
$$6m^{2}-10m^{2-1}+m^{1-1}$$
$$6m^{2}-10m^{1}+m^{1-1}$$
$$6m^{2}-10m^{1}+m^{0}$$
$$6m^{2}-10m+m^{0}$$
$$6m^{2}-10m+1$$
