Solution (source code)

= Solution

At $(-1,0)$ the <gradient> is $(1/2,0)^T$. Therefore the <total derivative> is the <linear map>
$$
\boxed{Df(-1,0)(h,k)=\frac h2,}
$$
represented by the <Jacobian matrix> $\begin{pmatrix}1/2&0\end{pmatrix}$.