Word Count : 504

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इस समस्या को हल करने के लिए, हमें फलन \( f(x,y) = x^2 + y \) के चरम मान पृष्ठ \( x^2 + 2y^2 = 1 \) पर ज्ञात करने होंगे। इसके लिए लग्रांज गुणांक (Lagrange Multipliers) विधि का उपयोग करेंगे। ### चरण 1: लग्रांज फलन बनाना लग्रांज गुणांक पद्धति के अनुसार, हम एक सहायक फलन पर विचार करते हैं: \[ \mathcal{L}(x, y, \lambda) = f(x, y) - \lambda g(x, y) \] जहाँ, - \( f(x, y) = x^2 + y \) है, - बाधा समीकरण \( g(x, y) = x^2 + 2y^2 - 1 = 0 \) है, - _________ ___ ________ ________ _________ ______ ____ ___ ____ ________ _________.
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