Graphs and transformations: TJC 2024 Promo Q3

The diagram below shows the graph of $y=\mathrm{f}(x)$. The curve intersects the $x$-axis and $y$-axis at $A(-4,0)$ and $C(0,11)$ respectively and has a maximum point at $B(-1,13)$. The lines $y=5$ and $x=-5$ are asymptotes of the curve.

Sketch, on separate diagrams, the graphs of

1. $y=\mathrm{f}'(x)$, [2]

2. $y=\dfrac{1}{\mathrm{f}(-x)}$. [3]