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Question: Slope of a graph at a point

Question:Slope of a graph at a point

Sujaan Kunalan 85
plot
October 31 2013
0
I wish to find the slope of the tangent line to the graph of y=(3x)/(x-2) at the point x=3, y=9. Then I want to plot both the tangent line and the graph on the same plot with the tangent line with a green solid line, and the original graph with a blue dashed line. So far I've gotten: v := proc (x) options operator, arrow; 3*x/(x-2) end proc; vprime := D(v); eval(diff(3*x/(x-2), x), {x = 3, y = 9}); plotv:=plot(v); plotvprime:=plot(D(v)); Then I'm not sure how to add the colors in the plot. I can get both graphs on the same set of axes by using: plots[display](plotv,plotvprime); Anyone know how to add the appropriate colors? (Also is what I have done correct?) Thanks.
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