$$\frac{4x^{5}}{9}\cdot\frac{9x^{3}}{2x}$$
$2x^{7}$
$$\frac{4x^{5}}{9}\times \frac{9x^{2}}{2}$$
$$\frac{4x^{5}\times 9x^{2}}{9\times 2}$$
$$2x^{2}x^{5}$$
$$2x^{7}$$
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$14x^{6}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4x^{5}}{9}\times \frac{9x^{2}}{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4x^{5}\times 9x^{2}}{9\times 2})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}x^{5})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{7})$$
$$7\times 2x^{7-1}$$
$$14x^{7-1}$$
$$14x^{6}$$
