Chain rule/R/Rational functionen/Confirm/Exercise

Let ${}f(x)={\frac {x^{2}-3}{x+2}}$ and ${}g(y)={\frac {y+4}{y^{2}-5}}$. We consider the composition ${}h(x):=g(f(x))$.

1. Compute ${}h$ (the result must be in the form of a rational function).
2. Compute the derivative of ${}h$, using part 1.
3. Compute the derivative of ${}h$, using the chain rule.

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