$$2[\frac{t}{\sqrt{2}}][\frac{t}{\sqrt{2}}]$$
$t^{2}$
$$2\times \left(\frac{t}{\sqrt{2}}\right)^{2}$$
$$2\times \left(\frac{t\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\right)^{2}$$
$$2\times \left(\frac{t\sqrt{2}}{2}\right)^{2}$$
$$2\times \frac{\left(t\sqrt{2}\right)^{2}}{2^{2}}$$
$$\frac{2\left(t\sqrt{2}\right)^{2}}{2^{2}}$$
$$\frac{\left(\sqrt{2}t\right)^{2}}{2}$$
$$\frac{\left(\sqrt{2}\right)^{2}t^{2}}{2}$$
$$\frac{2t^{2}}{2}$$
$$t^{2}$$
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$2t$
$$\frac{\mathrm{d}}{\mathrm{d}t}(2\times \left(\frac{t}{\sqrt{2}}\right)^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}t}(2\times \left(\frac{t\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\right)^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}t}(2\times \left(\frac{t\sqrt{2}}{2}\right)^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}t}(2\times \frac{\left(t\sqrt{2}\right)^{2}}{2^{2}})$$
$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{2\left(t\sqrt{2}\right)^{2}}{2^{2}})$$
$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{\left(\sqrt{2}t\right)^{2}}{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{\left(\sqrt{2}\right)^{2}t^{2}}{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{2t^{2}}{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}t}(t^{2})$$
$$2t^{2-1}$$
$$2t^{1}$$
$$2t$$
