Asked by Anonymous
                Find the interval on which the curve y= integral x to 0 of 6/(1+2t+t^2) dt is concave upward
            
            
        Answers
                    Answered by
            bobpursley
            
    your limits make no sense.
    
                    Answered by
            Steve
            
    y is concave up if y" > 0
By the 2nd FT of Calculus,
y' = -f(x) = -6/(x+1)^2
y" = 12(x+1)^3
so, where is y" positive?
    
By the 2nd FT of Calculus,
y' = -f(x) = -6/(x+1)^2
y" = 12(x+1)^3
so, where is y" positive?
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