The function defined by `f(x)=(x+2)e^(-x)` is (a)decreasing for all `x` (b)decreasing in `(-oo,-1)` and increasing in `(-1,oo)` (c)increasing for all `x` (d)decreasing in `(-1,oo)` and increasing in `(-oo,-1)`

The function f : [0,oo)to[0,oo) defined by f(x)=(2x)/(1+2x) is

The function defined by f(x)={x^(3)-1;1

f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then fis (A) increasing in (0,pi) and decreasing in (-oo,0)(B) increasing in (-oo,0) and decreasing in (0,oo)(C) increasing in (-oo,oo) and (D) decreasing in (-oo,oo)

The function f(x)=(ln(pi+x))/(ln(e+x)) is increasing in (0,oo) decreasing in (0,oo) increasing in (0,(pi)/(e)), decreasing in ((pi)/(e),oo) decreasing in (0,(pi)/(e)), increasing in ((pi)/(e),oo)

If f(x)=xe^(x(x-1)), then f(x) is (a) increasing on [-(1)/(2),1] (b) decreasing on R (c) increasing on R(d) decreasing on [-(1)/(2),1]

Let f be the function f(x)=cos x-(1-(x^(2))/(2))* Then f(x) is an increasing function in (0,oo)f(x) is a decreasing function in (-oo,oo)f(x) is an increasing function in (-oo,oo)f(x) is a decreasing function in (-oo,0)

The function f(x)=(x)/(1+|x|) is (a) strictly increasing (b) strictly decreasing (c) neither increasing nor decreasing (d) none of these

Function f(x)=x^(2)(x-2)^(2) is (A) increasing in (0,1)uu(2,oo)

Show that f(x)=(1)/(x) is a decreasing function on (0,oo)

Show that f(x)=(1)/(x) is decreasing function on (0,oo)