$$(\frac{4}{3}x^{5})(3x^{5})$$
$4x^{10}$
$$\frac{4}{3}x^{10}\times 3$$
$$4x^{10}$$
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$40x^{9}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{3}x^{10}\times 3)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(4x^{10})$$
$$10\times 4x^{10-1}$$
$$40x^{10-1}$$
$$40x^{9}$$