A function $f$ defined on $-4 < x < 4$ is given by the graph below. Note: to the right of $x = 2$, the graph of $f$ is exhibiting infinite oscillatory behavior similar to the function $\sin(\pi/x)$.

Estimate the each value of $f'(a)$, if the derivative exists at $x=a$. In particular, based on the graph, ask yourself if it is reasonable to say that the graph of $f$ has a tangent line at $(a, f(a))$ for each of the given $a$-values. If so, visually estimate the slope of the tangent line to find the value of $f'(a)$. If the derivative does not exist, enter DNE.

$f'(-3) =$

$f'(-2) =$

$f'(-1) =$

$f'(0) =$

$f'(1) =$

$f'(2) =$

$f'(3) =$