Show that the function `f(x)=(x+2)/(x+1)(xgt0)` decreasing.

Show that the function f(x)=1/x is decreasing in (0,oo) .

Determine the values of x for which the function f(x)= x^x, xgt0 is increasing or decreasing.

f(x)=log_(a)x(xgt0) is decreasing function if

Use the function f(x)=x^((1)/(x))(xgt0) to ascertain whether p^(e) or e^(p) is greater .

The local maximum value of the function f(x)=(2/x)^(x^2),xgt0 , is

The range of value of x for which the function f(x)=x/logx,xgt0 and "x"ne1 , may be decreasing is

The range of the function : f(x)=2-3x,x inR,xgt0 is

Show that the function f(x) defined by : f(x)={{:((sinx)/x+cosx", "xgt0),(2", "x=0),((4(1-sqrt(1-x)))/x", "xlt0):} is continuous at x = 0.

Draw the graph of the function f(x)={("1 if "xgt0),("0 if "x=0),("-1 if "xlt0):},x inR