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यदि $x \sqrt{1+y}+y \sqrt{1+x}=0$ है,तो $\frac{d y}{d x}$ का मान क्या होगा?

यदि $y = \sqrt{(1 - x)(1 + x)}$ है,तो

यदि $\log(\sqrt{1+x^2}-x) = y(\sqrt{1+x^2})$ है,तो $(1+x^2) \frac{dy}{dx} + xy =$

यदि ${x^2} + {y^2} = 1$ है,तो $y'$ और $y''$ के बीच संबंध ज्ञात कीजिए,जहाँ $y' = \frac{dy}{dx}$ और $y'' = \frac{d^2y}{dx^2}$ है।

यदि $2x^y + 3y^x = 20$ है,तो $(2, 2)$ पर $\frac{dy}{dx}$ का मान ज्ञात कीजिए।

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