Let the function g:`(-oo,oo)rarr (-pi //2,pi//2)` be given by g(u) `= 2 tan^(-1) (e^u)-pi/2` Then g is

Let the function g,(-oo,oo)rarr(-pi/2,pi/2) be given by g(u)=2tan^(-1)(e^u)-pi/2, Then ,g is

If the function g:(-oo,oo)rarr(-(pi)/(2),(pi)/(2)) is given by g(u)=2tan^(-1)(e^(u))-(pi)/(2). Then g is

Let the function g:(-oo, oo) to (-(pi)/(2), (pi)/(2)) be given by g(u)=2tan^(-1)(e^(u))-(pi)/(2) . Then g is :

If the function g:(-oo,oo)->(-pi/2,pi/2) is given by g(u)=2tan^-1(e^u)-pi/2. Then, g is

If the function g:(-oo,oo)->(-pi/2,pi/2) is given by g(u)=2tan^-1(e^u)-pi/2. Then, g is

Consider the function f:(-oo,oo)rarr(-oo,oo) defined by f(x)=(x^2-ax+1)/(x^2+ax+1), 0ltalt2 , and let g(x)=int_0^(e^x) (f\'(t)dt)/(1+t^2) . Which of the following is true? (A) g\'(x) is positive on (-oo,0) and negative on (0,oo) (B) g\'(x) is negative on (-oo,0) and positive on (0,oo) (C) g\'(x) changes sign on both (-oo,0) and (0,oo) (D) g\'(x) does not change sign on (-oo,oo)

Consider the function f:(-oo,oo)rarr(-oo,oo) defined by f(x)=(x^2-ax+1)/(x^2+ax+1), 0ltalt2 , and let g(x)=int_0^(e^x) (f\'(t)dt)/(1+t^2) . Which of the following is true? (A) g\'(x) is positive on (-oo,0) and negative on (0,oo) (B) g\'(x) is negative on (-oo,0) and positive on (0,oo) (C) g\'(x) changes sign on both (-oo,0) and (0,oo) (D) g\'(x) does not change sign on (-oo,oo)

Consider f:(0,oo)rarr(-(pi)/(2),(pi)/(2)), defined as f(x)=tan^(-1)((log_(e)x)/((log_(e)x)^(2)+1))* The about function can be classified as

f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log_(e)x) . The above function can be classified as :

f: (0,oo) to (-pi/2,pi/2)" be defined as, "f(x)=tan^(-1) (log_(e)x) . The above function can be classified as :