Khảo sát hàm số

N

nguyenbahiep1

[TEX]y ' = \frac{x^2 - 2x -m^2-2m}{(x-1)^2} \\ TH_1 : \Delta' \leq 0 \Rightarrow 1 + m^2 +2m \leq 0 \Rightarrow m = - 1 \\ TH_2 : \Delta > 0 \Rightarrow m \not = -1 \\ -1 <x_1 < x_2 \\ x_1 +1 + x_2 + 1 > 0 \Rightarrow 2 + 2 > 0 \forall m \\ (x_1+1)(x_2+1) > 0 \Rightarrow -m^2-2m + 2 +1 > 0 \Rightarrow -3 < m < 1 [/TEX]

chốt đáp án -3 < m < 1
 
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