• Math 149 S09 Quiz 4, Problem 3> restart;Function, first derivative, second derivative:> f:=x->3*x^2/(3+x^2); := f → x3x2 + 3 x2> g:=D(f): simplify(g(x)); h:=D(g): simplify(h(x));18 x() + 3 x22−54 ( )− + 1 x2() + 3x23> plot([f(x),f(1),h(x),3],x=0..3, color=[red,blue,green,black],thickness=[2,1,2,1]);Confirm location of inflection point by evaluating second derivative at apparent location:> f(1);g(1);h(1);34980Show line y = 3 as horizontal asymptote of function:> plot([f(x),f(1),h(x),3],x=0..9,
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