Erample $2.$ Find $f^{\text{'}}(x)$ for each function using the chain rule for the derivative of $e^{g(x)}$ and product$/$quotient$,$rules as needed.

$($a$)y=e^{2x}$

$($b$)f(x)=e^{x^3-3x^{2}1}$

$($c$)f(x)=6x{e}^{-3x}$

Reurite: $f(x)=(6x)(e^{-3r})$