If `f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x)` then `f(x)` (a)increase in `(0,oo)` (b)decrease in `[0,oo]` (c)neither increases nor decreases in `[0,oo]` (d)increase in `(-oo,oo)`

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 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)

If f(x)=int_(x^(2))^(x^(2)+1)e^(-t^(2))dt, then f(x) increases in (0,2)(b) no value of x(0,oo)(d)(-oo,0)

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)

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)

Show that the function f(x) = x^(2) is (a) strictly increasing on [0, oo] (b) strictly decreasing on [-oo, 0] (c) neither strictly increasing nor strictly decreasing on R

Prove that the function f(x)=log_(e)x is increasing on (0,oo)

Leg f(x)=x^(4)-4x^(3)+6x^(2)-4x+1. Then,f increase on [1,oo]f decreases on [1,oo]f has a minimum at x=1f has neither maximum nor minimum

Prove that the function f(x)=(log)_(e)x is increasing on (0,oo)

Prove that the function f(x)=(log)_(a)x is increasing on (0,oo) if a>1 and decreasing on (0,oo), if 0