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

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

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

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

Reunite: $f(x)=(6x)(e^{-3x})($b$)f(x)=e^{x^3-3x^{2}1}$

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

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

$($d$)y=e^{\frac{1}{x}}$

Rewrite: $y=e^{x^{-1}}$