Consider the function $g(x) = 2^x$ , which is graphed below, along with the tangent lines to the graph at $x=-2,-1,0,1,2$.

Use the provided grid to estimate the slope of each tangent line. Your estimates need to be within 10% of the correct answer.

$g'(-2) =$
$g'(-1) =$
$g'(0) =$
$g'(1) =$
$g'(2) =$

Recall that the derivative $g'(x)$ is also a function; you just computed five values of this function. On a piece of scratch paper, sketch a rough graph of $y=g'(x)$. Which of the following best describes the graph of the derivative $y=g'(x)$?
The graph is increasing and concave up.
The graph is increasing and concave down.
The graph is decreasing and concave up.
The graph is decreasing and concave down.
None of these