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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If 2x3−3x2y2+4x−y+7=02 x^3-3 x^2 y^2+4 x-y+7=0 and y(1)=1y(1)=1, then the value of yn(1)y^n(1) is equal to
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Correct option: B
−474343-\frac{474}{343}
Option B (−474343-\frac{474}{343}) is correct because it is the value of the second derivative y′′(1)y''(1) obtained by implicit differentiation of the given equation and using the initial condition y(1)=1y(1)=1.

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