(0)

\begin{align*} \frac{df^{\circ}(x)}{dx} & =\frac{df^{\circ}(x)}{df\left(f^{\circ}(x)\right)}\\ & =\left(\frac{df\left(f^{\circ}(x)\right)}{df^{\circ}(x)}\right)^{-1} \end{align*}

(0)-2

\begin{align*} \frac{df^{\circ}(x)}{dx} & =\frac{dy}{df(y)}\cnd{y=f^{\circ}(x)}\\ & =\left[\left(\frac{df(y)}{dy}\right)^{-1}\right]_{y=f^{\circ}(x)}\\ & =\left(\frac{df(f^{\circ}(x))}{df^{\circ}(x)}\right)^{-1} \end{align*}