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Find dy/dx in the following: 2x+3y = s...

Find `dy/dx` in the following:
2x+3y = sinx

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Prove that the function f given by : f(x) = |x-1|, x in R is not diffe...

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  2. Prove that f(x) = [x], 0 lt x lt 3 is not differentiable at x = 1 but ...

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  3. Find dy/dx in the following: 2x+3y = sinx

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  4. Find dy/dx in the following : 2x +3y = sin y

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

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  6. Find dy/dx in the following: xy+y^2= tanx +y

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  7. Find dy/dx in the following: x^2 + xy + y^2 = 100

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  8. Find dy/dx in the following: x^3 +x^2y + xy^2 + y^3 = 81

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  9. Find dy/dx in the following: sin^2y + cos xy = pi

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  10. Find (dy)/(dx), if sin^2 x + cos^2 y = 1

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

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  12. Differentiate the following w.r.t. x: tan^-1((3x-x^3) / (1-3x^2)),-1...

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  13. Find dy/dx in the following: y = cos^-1((1-x^2)/(1+x^2)), 0 < x <1

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  14. Find dy/dx in the following:y=sin^-1((1 - x^2)/(1+x^2), 0<x<1

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  15. Differentiate the following w.r.t. x: cos^-1(2x/(1+x^2)), -1 < x < 1

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

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  17. Find dy/dx in the following:y=sec^-1(1/(2x^2-1)), 0ltxlt1/sqrt2

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  18. Differentiate the following w.r.t. x : e^x/(sinx)

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  19. Differentiate the following w.r.t x e^(sin^(-1)x)

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  20. Differentiate the following w.r.t x e^(x^3)

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