General Derivative Rules

$\frac{d}{dx}[f(g(x))]=f^{\text{'}}[g(x)]*g^{\text{'}}(x),\frac{d}{dx}[g(x){]}^n=n*[g(x){]}^{n-1}*g^{\text{'}}(x)$

Example $3.$ Find the derivatives of the following functions.

$($a$)y=(2x+1{)}^5$

$($c$)g(x)=\sqrt[\phantom{2}]{6x-7}$

$($b$)f(x)=(3x-2{)}^{-\frac{2}{3}}$

$($d$)y=\frac{1}{2-x}.$