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sin^(-1)(xsqrtx),0le x le1...

`sin^(-1)(xsqrtx),0le x le1`

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The correct Answer is:
`3/2sqrt(x/(1-x^(3)))`
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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(e) (SHORT ANSWER TYPE QUESTIONS)
  1. Differentiate the following w.r.t. x : cos^(-1)(x/(x+1))

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  2. sin^(-1)(xsqrtx),0le x le1

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

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

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  5. Differentiate the following w.r.t. x : cos^(-1)(sinx)

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  6. Differentiate the following w.r.t. x: (i)sin^(-1)2x" "(ii)tan^(-...

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

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

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

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  10. "Tan"^(-1)(cosx)/(1+sinx)=

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  11. 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. sin^(-1)(3x-4x^(3))

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  14. Differentiate the following w.r.t. x : cos^(-1)(4x^(3)-3x),-1ltxlt1

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

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  16. "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)))...

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

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

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

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