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Question
Find `"dy"/"dx"` if `sqrt(x) + sqrt(y) = sqrt(a)`
Solution
`sqrt(x) + sqrt(y) = sqrt(a)`
Differentiating both sides w.r.t. x, we get
`(1)/(2sqrt(x)) + (1)/(2sqrt(y))."dy"/"dx"` = 0
∴ `(1)/(2sqrt(y))"dy"/"dx" = -(1)/(2sqrt(x)`
∴ `"dy"/"dx" = -sqrt(y/x`.
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