find dx/dy if y=x^2 +1
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⇒y
2
=x
2
y+1
Differentiating both sides
2y
dx
dy
=2xy+x
2
dx
dy
⇒(2y−x
2
)
dx
dy
=2xy
⇒
dx
dy
=
2y−x
2
2xy
hope it helps you
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