\[ f(x)=\frac{2 x^{\frac{3}{2}}}{5}-\frac{2 x^{\frac{3}{2}}}{3}-6 \text { over }[0,4] \] Enter an exact answer. If there is more than one value of \( x \) in the interval at which the maximum or minimum occurs, you should use a comma to separate them.

Gegeben ist eine weitere Funktion h. mit der Gleichung \( h(x)=0,5 x^{3}-4 x^{2}+6 x+2 \) 74 a) Untersuchen Sie den Graphen von \( h \) auf mögliche Wendepunkte.

5. [12 marks] Using calculus and showing all your working, sketch the function \[ f(x)=\frac{x}{x^{2}-4} \] noting the domain of \( f(x) \), any intercepts or asymptotes, symmetry, regions where the function is increasing or decreasing and any relative extrema. Note: You don't have to consider the second derivative and concavity.

s] Using calculus and showing all working, graph the function \[ f(x)=\frac{x+2}{x^{2}-1} \]

asymptotes of \( f \).

1) \( f(x)=\sqrt{\frac{2}{\sqrt[x]{e 6 x+1}}} \)