Giúp e bài 5 tự luận Ạ
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5.
\(y=\dfrac{2x-1}{1-x}\Rightarrow y'=\dfrac{\left(2x-1\right)'\left(1-x\right)-\left(1-x\right)'\left(2x-1\right)}{\left(1-x\right)^2}\)
\(=\dfrac{2\left(1-x\right)+\left(2x-1\right)}{\left(1-x\right)^2}=\dfrac{1}{\left(1-x\right)^2}=\dfrac{1}{\left(x-1\right)^2}\)
9.
\(\lim\limits\dfrac{2n^2+4}{3-n^2}=\lim\dfrac{2+\dfrac{4}{n^2}}{\dfrac{3}{n^2}-1}=\dfrac{2+0}{0-1}=-2\)
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
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Bài 1:
a.
\(=(6\sqrt{5}-3\sqrt{5}+3\sqrt{5}-6\sqrt{5}):\sqrt{5}=0:\sqrt{5}=0\)
b.
\(=3\sqrt{a}-\frac{1}{2a}\sqrt{(3a)^2.a}+\sqrt{a^2}.\sqrt{4^2}.\sqrt{\frac{1}{a}}-\frac{2}{a^2}.\sqrt{(6a^2)^2.a}\)
\(=3\sqrt{a}-\frac{1}{2a}.3a\sqrt{a}+4\sqrt{a^2.\frac{1}{a}}-\frac{2}{a^2}.6a^2\sqrt{a}\)
\(=3\sqrt{a}-1,5\sqrt{a}+4\sqrt{a}-12\sqrt{a}=-6,5\sqrt{a}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\) Hàm số bậc nhất \(\Leftrightarrow2m-3\ne0\Leftrightarrow m\ne\dfrac{3}{2}\)
\(b,\) Để \(\left(d\right)\) tạo với Ox một góc nhọn thì:
\(2m-3>0\Leftrightarrow m>\dfrac{3}{2}\)
\(c,m=3\Leftrightarrow y=3x+2\)
\(x=0\Leftrightarrow y=2\Leftrightarrow A\left(0;2\right)\\ x=1\Leftrightarrow y=5\Leftrightarrow B\left(1;5\right)\)
4:
a: Vì ON<OM
nên N nằm giữa O và M
b: Vì N nằm giữa O và M
nên ON+NM=OM
=>NM=3,5cm=ON
=>N là trung điểm của OM