Question
Show that the function f(x) = x2 is a decreasing function in (– ∞ 0).
Solution
Let x1, x2 ∊ (– ∞ , 0) and let x1 < x2.
Now, x1 < x2

...(1)
Again

...(2)
From (1) and (2), we get,

Now, x1 < x2



Again




From (1) and (2), we get,

