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Question: Answered & Verified by Expert
If log10x3-y3x3+y3=2 , then dydx=
MathematicsDifferentiationJEE Main
Options:
  • A xy
  • B -yx
  • C -xy
  • D yx
Solution:
1925 Upvotes Verified Answer
The correct answer is: yx
Given, log10x3-y3x3+y3=2

x3-y3x3+y3=102=100

Applying componendo and dividendo, we get, 

x3y3=-10199xy=-1019913......(i)

Hence, y=-9910113x

Differentiating, we get,

dydx=-9910113=yx (from (i))

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