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Consider the function f(x)=arctan((x+5)/(x+4)) What is the slope of the tangent line at the inflection point?...

Consider the function f(x)=arctan((x+5)/(x+4))
What is the slope of the tangent line at the inflection point? The inflection point I got was: (-9/2, -pi/4).

If you could provide a sketch of the graph as well I'll give a thumbs up, thank you!

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