$$(2a)^{-1}\times3a^{2}$$
$\frac{3a}{2}$
$$2^{-1}a^{-1}\times 3a^{2}$$
$$\frac{1}{2}a^{-1}\times 3a^{2}$$
$$\frac{3}{2}a^{-1}a^{2}$$
$$\frac{3}{2}a^{1}$$
$$\frac{3}{2}a$$
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$\frac{3}{2} = 1\frac{1}{2} = 1.5$
$$\frac{\mathrm{d}}{\mathrm{d}a}(2^{-1}a^{-1}\times 3a^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{2}a^{-1}\times 3a^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{2}a^{-1}a^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{2}a^{1})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{2}a)$$
$$\frac{3}{2}a^{1-1}$$
$$\frac{3}{2}a^{0}$$
$$\frac{3}{2}\times 1$$
$$\frac{3}{2}$$
