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Question

Differentiate y=x2+1x2+1x2+1x2+......

A
dydx=y2yx
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B
dydx=y22yx
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C
dydx=2xy2yx2
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D
None of these
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Solution

The correct option is A dydx=2xy2yx2

y=x2+1x2+1x2+1x2+1...

y=x2+1y

y2=x2y+1

2yy=2xy+x2y

y(2yx2)=2xy

y=2xy2yx2


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