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Find (dy)/(dx) in the following xy + y...

Find `(dy)/(dx)` in the following
`xy + y^(2)= tan x + y`

Text Solution

Verified by Experts

The correct Answer is:
`(sec^(2)x-y)/(x + 2y-1)`
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.3
  1. Find (dy)/(dx) in the following 2x+ 3y= sin y

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  2. Find (dy)/(dx) in the following ax + by^(2) = cos y

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  3. Find (dy)/(dx) in the following xy + y^(2)= tan x + y

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  4. Find (dy)/(dx) in the following x^(2) + xy + y^(2) = 100

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  5. Find (dy)/(dx) in the following x^(3) + x^(2)y + xy^(2) + y^(3) = 8...

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  6. Find (dy)/(dx) in the following sin^(2)y+ cos xy= k

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  7. Find (dy)/(dx) in the following sin^(2)x + cos^(2)y=1

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  8. Find (dy)/(dx) in the following y= sin^(-1) ((2x)/(1+ x^(2)))

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  9. Find (dy)/(dx) in the following: y= tan^(-1) ((3x-x^(3))/(1-3x^(2))...

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  10. Find (dy)/(dx) in the following y= cos^(-1) ((1-x^(2))/(1+ x^(2))),...

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  11. Find (dy)/(dx) in the following y= sin^(-1) ((1-x^(2))/(1+ x^(2))), ...

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  12. Find (dy)/(dx) in the following y= cos^(-1) ((2x)/(1+ x^(2))), -1 lt...

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  13. Find (dy)/(dx) in the following y= sin^(-1) (2x sqrt(1-x^(2))), -(1)...

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  14. Find (dy)/(dx) in the following y= sec^(-1) ((1)/(2x^(2)-1)), 0 lt ...

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  15. Find (dy)/(dx) in the following 2x+ 3y= sin x

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  16. Find (dy)/(dx) in the following 2x+ 3y= sin y

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  17. Find (dy)/(dx) in the following ax + by^(2) = cos y

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  18. Find (dy)/(dx) in the following xy + y^(2)= tan x + y

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  19. Find (dy)/(dx) in the following x^(2) + xy + y^(2) = 100

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  20. Find (dy)/(dx) in the following x^(3) + x^(2)y + xy^(2) + y^(3) = 8...

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