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Question
Fill in the Blank
If 3x2y + 3xy2 = 0, then `"dy"/"dx"` = ________
Solution
If 3x2y + 3xy2 = 0, then `"dy"/"dx"` = -1.
Explanation:
3x2y + 3xy2 = 0
Dividing both sides by 3xy, we get
x + y = 0
Differentiating both sides w.r.t.x, we get
`1 + "dy"/"dx" = 0`
∴ `"dy"/"dx" = - 1`
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