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

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

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find dy/dx in the following: x^3 +x^2y + xy^2 + y^3 = 81

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Differentiate the following w.r.t. x: sin(tan^-1 e^-x)

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  15. Differentiate the following w.r.t. x: log(cos e^x)

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  16. Differentiate the following w.r.t. x: e^x+e^(x^2)+. . . .+e^(x^5)

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  17. Differentiate the following w.r.t.x : sqrt(e^(sqrt(x)), x gt 0

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  18. Differentiate the following w.r.t.x : log(log x) , x lt 1

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  19. Differentiate the following w.r.tx: (cosx)/(logx), x>0

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  20. Differentiate the functions : cos x cos 2 x cos 3x

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