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Quandaries & Queries
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 Topic: curve sketch
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 f(x)= (e^x) / [(e^x)+(ex^2)] 2009-11-10 From natalie:I'm trying to graph the function, f(x)= (e^x) / (e^x)+(ex^2) [e to the x divided by e to the x plus e times x squared] I know that there aren't any vertical asymptotes, but is there a horizontal asymptote? and also, I'm stuck on finding the concavity for this graph. I tried to find f "(x), but it came out to be really long and I am not sure how to find the x values for f "(x) without using a graphic calculator. thanks, natalieAnswered by Chris Fisher and Harley Weston. A curve sketch 2007-11-22 From Ahson:Find critical points, determine the monotonicity and concavity and sketch a graph of f(x) with any local maximum, local minimum and inflection points labeled: 1. f(x) = x^4 - x^3 - 3x^2 + 1Answered by Harley Weston.

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