2. Intro to Derivatives

Based on the graph of $f\left(x\right)$, describe the graph of the derivative $f^{\prime}\left(x\right)$ on the interval $\left(0,\infty\right)$.

Based on the graph of $f\left(x\right)$, describe the graph of the derivative $f^{\prime}\left(x\right)$at the point $x=-1$.

Based on the graph of $f\left(x\right)$, describe where the derivative curve $f^{\prime}\left(x\right)$ would be below the x-axis.

Based on the graph $f\left(x\right)$, describe all points where the derivative $f^{\prime}\left(x\right)$would have a jump.