\(3x-2y+19=0\Rightarrow y=\dfrac{3}{2}x+\dfrac{19}{2}\)
Tiếp tuyến song song \(\Delta\Rightarrow k=\dfrac{3}{2}\)
Gọi \(M\left(x;y\right)\)
\(y'=\dfrac{6}{\left(x+1\right)^2}=\dfrac{3}{2}\Rightarrow\left(x+1\right)^2=4\Rightarrow\left[{}\begin{matrix}x=1\Rightarrow y=-1\\x=-3\Rightarrow y=5\end{matrix}\right.\)
Pt tiếp tuyến: \(\left[{}\begin{matrix}y=\dfrac{3}{2}\left(x-1\right)-1=\dfrac{3}{2}x-\dfrac{5}{2}\\y=\dfrac{3}{2}\left(x+3\right)+5=\dfrac{3}{2}x+\dfrac{19}{2}\left(loại\right)\end{matrix}\right.\)
\(\Rightarrow k+m=\dfrac{3}{2}-\dfrac{5}{2}=-1\)
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