1.

Consider the functionf:(-oo, oo) -> (-oo ,oo) defined byf(x) =(x^2 - ax + 1)/(x^2+ax+1) ;0 lt a lt 2. Let g(x)=int_(0)^(e^(x))(f'(t))/(1+t^(2)) dt. Which of the following is true?

Answer»

G'(x) is positive on `(-oo,0)` and NEGATIVE on `(0,oo)`
g'(x) is negative on `(-oo,0)` and positive on `(0,oo)`
g'(x) change SIGN on both `(-oo,0)and (0,oo)`
g'(x) does not change sign `(-oo,oo)`

Answer :B


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