Pregunta: Find the derivative. y=7t2+t12−t26 y′=

By the Sum Rule, the derivative of $7{\mathrm{t}}^2+\frac{12}{\sqrt{\mathrm{t}}}-\frac{6}{{\mathrm{t}}^2}$ with respect to $\mathrm{t}$ is $\frac{\mathrm{d}}{\mathrm{d}\mathrm{t}}\left[7{\mathrm{t}}^2\right]+\frac{\mathrm{d}}{\mathrm{d}\mathrm{t}}\left[\frac{12}{\sqrt{\mathrm{t}}}\right]+\frac{\mathrm{d}}{\mathrm{d}\mathrm{t}}[-\frac{6}{{\mathrm{t}}^2}]$ .

$\frac{\mathrm{d}}{\mathrm{d}\mathrm{t}}\left[7{\mathrm{t}}^2\right]+\frac{\mathrm{d}}{\mathrm{d}\mathrm{t}}\left[\frac{12}{\sqrt{\mathrm{t}}}\right]+\frac{\mathrm{d}}{\mathrm{d}\mathrm{t}}[-\frac{6}{{\mathrm{t}}^2}]$