The following function, which is an increasing function in the interval (0, + ∞), is () A. y=ln（x+2）B. y＝−x+1C. y＝(12)xD. y＝x+1x

The following function, which is an increasing function in the interval (0, + ∞), is () A. y=ln（x+2）B. y＝−x+1C. y＝(12)xD. y＝x+1x

A. Y = ln (x + 2) is an increasing function on (- 2, + ∞), so it is an increasing function on (0, + ∞), a is correct; B, y = − x + 1 is a decreasing function on [- 1, + ∞); excluding BC, y = (12) x is a decreasing function on R; excluding CD, y = x + 1x is a decreasing function on (0,1), increasing function on (1, + ∞), excluding D, so a is selected

Finding monotone interval of function y = 2 / x-ln (1 + x) + 1

Function domain Y > - 1
Derivation of function y '= 0.5 (1-1 / (x + 1))
Let y '> - 0 x > 0 monotonically increase
Make y '

The monotone increasing interval of function y = ln (2 + x ^ 2) is?

f'(x)=2x/(x^2+2)>0
x>0
Monotone increasing interval (0, + infinity)