$2($a$)$ Find the first derivative of the following function from the First Principle:

$f(x)=x^3+2x^2-3x$

$($b$)$ Differentiate $y=\frac{xcosx}{lnx}$ with respect to $x$

$($c$)$ If $x^{2}y-3x+4y^3=2,$ Find $\frac{dy}{dx}$

$($d$)$ If $y=-4x^3+2x^2+3x-2,$ Find $\frac{d^{2}y}{d{x}^2}$