First, find the point where the graph of $g$ has a horizontal tangent line (there is only one). This occurs for $x=$

.

Sketch the horizontal tangent line on the graph. What is the derivative at this point?

$g'($

$) =$

On the second graph, as a first step of sketching the derivative of $g$, draw the single point on the graph of the derivative that we've calculated so far. Since we've calculate the derivative at $x=$

, the point to draw is

$(x,g'(x)) = ($

,

$)$.
##### Hint

Online, to sketch the tangent line, drag $n_t$ to 1 and move the maroon point to the proper location. To sketch the point on the graph of the derivative, move the maroon point, labeled P1, to the position of $(x,g'(x)')$ that you calculated.

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