Chain rule/R/x^2+5x-2 over x+1 and y-2 over y^2+3/Confirm/Exercise

Let

$f(x)=\frac{x^2+5x-2}{x+1}$

and

$g(y)=\frac{y-2}{y^2+3}.$

Determine the derivative of the composite

$h(x)=g(f(x))$

directly and by the chain rule.

Create a solution