x=21,y=4−1⇒xy=8−1
y.21−x2(−2x)+y′.1−x2=0−1.1−y2+21−y2x.(−2y)y′
−1−x2xy+y′1−x2=−1−y2+1−y2xy.y′
y′(1−x2−1−y2xy)=1−x2xy−1−y2
y′(23+8.4151)=8.43−1−415
y′(21545+1)=−43(1+45)
y′=−2315=−25
Let y=y(x) be a function of x satisfying y1−x2=k−x1−y2 where k is a constant and y(21)=−41.Then dxdy at x=21 , is equal to
Held on 7 Jan 2020 · Verified 6 Jul 2026.
−45
−25
52
25
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