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"cosec"^(-1)((1+x^(2))/(2x))...

`"cosec"^(-1)((1+x^(2))/(2x))`

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If y="cosec"^(-1)((x^(2)+1)/(x^(2)-1))+cos^(-1) ((x^(2)-1)/(x^(2)+1)),"then " (dy)/(dx)=

(d)/(dx)csc^(-1)((1+x^(2))/(2x))

"cosec"^(3).(1)/(x^(2))

"cosec"^(-1)((1+tan^(2)x)/(2tanx))

cosec^(-1)((1+tan ^2x)/(2tanx))

The derivative of cosec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2))" at "x=(1)/(2) , is

int ("cosec"^(2)x)/((1-cot^(2)x))dx=?

Evaluate : (i) int(sinx)/((1-4cos^(2)x))dx (ii) int("cosec"^(2)x)/((1-cot^(2)x))dx

"cosec"(sin^(-1)x+cos^(-1)x)

The domain of the function cosec^(-1)((1+x)/x) is :

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(e) (SHORT ANSWER TYPE QUESTIONS)
  1. Differentiate the following w.r.t. x : xsec^(-1)x.

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

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

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

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

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

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

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  8. cot^(-1)((1+cosx)/(sinx))

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

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

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

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

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  13. "cosec"^(-1)((1+x^(2))/(2x))

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

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

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

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

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  18. tan^(-1)((3x-x^(3))/(1-3x^(2)))

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  19. निम्न फलन का x के सापेक्ष अवकल गुणांक ज्ञात कीजिए - tan ^(-1) [(x^(1/...

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  20. "tan"^(-1)(x)/(sqrt(a^(2)-x^(2)))

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