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Differentiate the following w.r.t.x. c...

Differentiate the following w.r.t.x.
`cos^(-1) (sin x)`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Differentiate the following w.r.t. x: (tan^-1x)^2

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  2. Differentiate the following w.r.t. x: x sec^-1x

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  3. Differentiate the following w.r.t.x. cos^(-1) (sin x)

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

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  5. Differentiate the following w.r.t. x: sin^-1(2x)

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  6. Differentiate the following w.r.t. x: (cot^-1x)^2

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  7. Differentiate the following w.r.t. x: sin(2 sin^-1x)

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  8. Differentiate the following w.r.t. x: x tan^-1x

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  9. Differentiate the following w.r.t. x: tan^-1((sinx)/(1+cosx))

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  10. Differentiate the following w.r.t. x: tan^-1((cosx)/(1+sinx))

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  11. Differentiate the following w.r.t. x: cot^-1((1+cosx)/(sinx))

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  12. Differentiate the following w.r.t. x: sin^-1(1-2x^2)

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  13. Differentiate the following w.r.t. x: sin^-1(3x-4x^3), -1/2 < x < 1/...

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  14. Differentiate the following w.r.t.x. cos^(-1)(4x^3 - 3x)

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

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  16. Differentiate the following w.r.t.x. cosec^(-1)(1 + x^2)/(2x)

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  17. Differentiate the following w.r.t. x: sin^-1((1-x^2)/(1+x^2)),0 < x ...

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  18. Differentiate the following w.r.t. x: cos^-1((1-x^2)/(1+x^2)), 0 < ...

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

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  20. Differentiate the following w.r.t. x: tan^-1(2x/(1-x^2)), 0 < x < 1

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