Âàð³àíòè çàâäàíü
| ¹ ï/ï
| f(x)
| à
| b
|
|
| (3x2 – 4)3
|
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| 
|
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| 
| 0,5
| 2,5
|
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| 
|
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| 3(x2 + 3)3 ×x2
| –1
|
|
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| (3x2 + 5)3×x
|
|
|
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| 
|
|
|
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| sin3 (x )cos(x)
| –2
|
|
|
| cos3 (4x)sin(x)
| –0,5
| 1,5
|
|
| arctg3 (x) / (1 + x2)
| 1,5
| 3,5
|
|
| tg2(x) / cos2(x)
|
|
|
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| 
| –1
|
|
|
| 2x / (x2 + 5)
| –0,5
| 1,5
|
|
| ex / (ex + 2)
| –1
|
|
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| 5x
| –2
|
|
|
| e5x
| –1
|
|
|
| ecos(x) sin(x)
| –1
|
|
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| esin(x)cos(x)
|
|
|
|
| 
| –0,5
| 1,5
|
|
| e1/ x / x2
| 0,5
| 2,5
|
| ¹ ï/ï
| f(x)
| à
| b
|
|
| 
| –1
|
|
|
| ln (x) / x
|
|
|
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| xsin(x2)
|
|
|
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| sin (2x + 5)
|
|
|
|
| 1 / (x2 + 4)
| –1
|
|
|
| 
| 0,5
| 2,5
|
|
| xsin(x)
|
|
|
|
| ln (x)
|
|
|
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| arctg (x)
| –1
|
|
|
| arcsin (x)
| –1
|
|
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| x×cos(x)
|
|
|
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| x3 ln(x)
|
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| ln (x) / x2
|
|
|
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| x / cos2 (x)
| –1
|
|
|
| ln(sin(x)) / cos2 (x)
| –1
|
|
|
| sin(x)ln(cos(x))
| –1
|
|
|
| ln(arctg(x)) / (1 + x2)
| 0,5
| 2,5
|
|
| cos(x)ln(sin(x))
|
|
|
|
| ln(cos(x)) / sin2 (x)
| –1
|
|
|
| ln(tg(x)) / cos2 (x)
| –1
|
|
|
| x e-x
| –2
|
|
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| x tg2 (x)
| –1
|
|
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| lg(x) / x2
|
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| xln(x)
|
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| 1 / (x2 – 7 x + 14)
|
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| x2 e-x
|
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| x arctg(x)
|
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| ln2 (x)
|
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