ПРАКТИКАЛЫҚ САБАҚ 13-15. Екі айнымалы функциялар. Олардың негізгі ұғымдары.
Екі айнымалы функцияның анықталу облысын табу.
Дербес туынды мен толық туындыны табу.
Толық дифференциалдың жуық есептеулерге қолданылуы.
Функцияның анықталу облысын тап
1) 2) 3)
4) 5)
6) Егер болса неге тең?
7) Егер болса функциясының мәнін анықта
8) функциясының нүктесіндегі мәнін тап
9) болса, неге тең?
10) -ті тап
11) функциясының х айнымалысы бойынша дербес туындысын тап
12) функциясының х айнымалысы бойынша дербес туындысын тап
13) Егер болса –ті тап
14) -ті тап
15) Егер
16) Егер ![](data:image/png;base64,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)
17) Егер
18) -ті нүктесіндегі мәнін тап
20) 21)
22) ![](data:image/png;base64,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)
23)
24) 25)
26) Жуықтап есепте ![](data:image/png;base64,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)
27) функциясынан x=0,y=1 болғандағы нің жуық мәнін есепте.
28) функциясынан x=1,y=0 болғандағы нің жуық мәнін есепте.
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