Pregunta: Calculate dy/dx if y= a. b.

The given function is:

Differentiate using the chain rule, which states that $\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}\left[\mathrm{f}\left(\mathrm{g}\left(\mathrm{x}\right)\right)\right]$ is ${\mathrm{f}}^{\prime }\left(\mathrm{g}\left(\mathrm{x}\right)\right){\mathrm{g}}^{\prime }\left(\mathrm{x}\right)$ where $\mathrm{f}\left(\mathrm{x}\right)={\mathrm{x}}^2$ and $\mathrm{g}\left(\mathrm{x}\right)=3{\mathrm{e}}^{\mathrm{x}}-3$ .

$2(3{\mathrm{e}}^{\mathrm{x}}-3)\frac{\mathrm{d}}{\mathrm{d}\mathrm{x}}[3{\mathrm{e}}^{\mathrm{x}}-3]$