$$3 { a }^{ 2 } \times 5a=$$
$15a^{3}$
$$3a^{3}\times 5$$
$$15a^{3}$$
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$45a^{2}$
$$\frac{\mathrm{d}}{\mathrm{d}a}(3a^{3}\times 5)$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(15a^{3})$$
$$3\times 15a^{3-1}$$
$$45a^{3-1}$$
$$45a^{2}$$