Word Count : 452

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हम दिए गए फलनों के स्तब्ध बिंदु (critical points) ज्ञात करेंगे और उन्हें अधिकतम / न्यूनतम / काठी (saddle point) के रूप में वर्गीकृत करेंगे। --- ### (i) $f(x,y) = 4xy + x^4 - y^4$ Step 1: आंशिक अवकलज निकालें $$ f_x = \frac{\partial f}{\partial x} = 4y + 4x^3 $$ $$ f_y = \frac{\partial f}{\partial y} = 4x - 4y^3 $$ Step 2: स्तब्ध बिंदु के लिए $f_x = 0$ और $f_y = 0$ 1. $4y + 4x^3 = 0 \implies y = -x^3$ 2. $4x - 4y^3 = ______ _______ _____ ________ ______ ____.
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