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1.
x0, y0, x0 , y0 .
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15xy 7x2 12xy y y 0 , (x0 = 2, x |
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2. |
xy 2x y 2 x , ( x0 4 , y0 2 ). |
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3. |
sin x y sin x cos x y sin x cos x x , ( x0 0,1; y0 3). |
4. |
2xy 5 y 3y2 4x x , (x0 = 5, x |
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4 ). |
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5. |
2x 1 y 2 y |
1 4x |
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1). |
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x2 |
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6. |
y 3x2 2x y 6x 2 0 , ( x 1, y |
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7. |
x2 y y2 x 2xy 0 , ( x 1, x |
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4 ). |
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8. |
x2 y y dx xdy 0 , ( x |
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1, |
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1). |
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9.x2 y2 2xy dx 2 ydy 0 , ( x0 5 , y0 7 ).
10.x 2xy y2 y 2 y2 0 , ( x0 3, y0 2 ).
11.2xy xy2 y210x , ( x0 3, x0 5 , y0 1).
12.xy xy 3lg x , ( x0 10 , x0 2 , y0 1).
13.2 arctg x arctg y 3y 2xy , ( x0 3 , y0 1).
14.log2 x log2 y y 2xy cos x , ( x0 8 , y0 2 ).
15.100x y 2xy y ln xy , ( x0 2 , y0 0,5 ).
16. |
2sin x |
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2sin y |
4xy 2xy , ( x |
3, x |
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1). |
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