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If x^16 . y^9 = (x^2 + y)^(17), prove th...

If `x^16 . y^9 = (x^2 + y)^(17)`, prove that `(dy)/(dx) = (2y)/x`.

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find dy/dxif : y=(3-v)/(2+v),v = (4x)/(1-x^2)

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  2. Find dy/dxif : y = at^2, t = x/(2a)

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  3. If x^16 . y^9 = (x^2 + y)^(17), prove that (dy)/(dx) = (2y)/x.

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  4. Differentiate the following w.r.t. x: |2x-1|

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  5. Differentiate the following w.r.t. x: |2x^2-3|

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  6. If y + sin y = cosx, then find the values of 'y' for which dy/dx is va...

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  7. Find the derivative of y w.r.t x in each of the following: x-y = pi

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  8. Find the derivative of y w.r.t x in each of the following: x^2/a^2+y...

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  9. Find the derivative of y w.r.t x in each of the following: x^3+x^2y+...

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  10. Find the derivative of y w.r.t x in each of the following: x^3+2x^2y...

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  11. Find the derivative of y w.r.t x in each of the following: 2x+3y=sin...

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  12. Find the derivative of y w.r.t x in each of the following: 2x+3y= si...

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  13. Find the derivative of y w.r.t x in each of the following: ax+by^2=c...

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  14. Find the derivative of y w.r.t x in each of the following: xy+y^2 = ...

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  15. Find the derivative of y w.r.t x in each of the following: sin^2y + ...

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  16. Find the derivative of y w.r.t x in each of the following: 1/x-1/y -...

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  17. Find the derivative of y w.r.t x in each of the following: sqrtx+sqr...

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  18. Find the derivative of y w.r.t x in each of the following: y(y+1)=x(...

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  19. Find the derivative of y w.r.t x in each of the following: x^2=(x+3y...

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  20. Find the derivative of y w.r.t x in each of the following: y/(x+y)=3...

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