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)`

The function f(x)=(log(pi+x))/(log(e+x)) is

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

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

Show that f(x)=sin x is increasing on (0,pi/2) and decreasing on (pi/2,pi) and neither increasing nor decreasing in (0,pi)

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)

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)

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

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

Show that f(x)=log sin x is increasing on (0,pi/2) and decreasing on (pi/2,pi).

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