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Find the differentiation of y=tan^(-1)sq...

Find the differentiation of `y=tan^(-1)sqrt((1+cosx/2)/(1-cosx/2))`

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BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. Find the (dy)/(dx) of y=cos^(-1)sqrt((1+x^2)/2)

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  2. Find the (dy)/(dx) of y=tan^(-1)((a x-b)/(b x+a))

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  3. Find the differentiation of y=tan^(-1)sqrt((1+cosx/2)/(1-cosx/2))

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  4. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

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  5. Find the differentiation of y=tan^(-1)((acosx-bsinx)/(bcosx+asinx))

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  6. Find the differentiation of y=tan^(-1)(secx+tanx)

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  7. Find the differentiation of y=cos^(-1)sqrt(cosx)

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  8. Using a suitable substitution, find the derivative of tan^-1 ((4sqrt(x...

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  9. Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x...

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  10. Find the differentiation of y=tan^(-1)((x^(1//3)+a^(1//3))/(1-x^(1//3)...

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  11. Find the (dy)/(dx) of y=sin^(-1)(xsqrt(1-x)+sqrt(x)sqrt(1-x^2))

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  12. Find the (dy)/(dx) of y=sin^(-1)(3x-4x^3)

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  13. Find the (dy)/(dx) of y=sec^(-1)(1/(1-2x^2))

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  14. y=sin^(-1)((5x+12sqrt(1-x^2))/(13))

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  15. Find the (dy)/(dx) of y=sin^(-1)sqrt(1-x^2)

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  16. Find the (dy)/(dx) of y=cos^(-1){sqrt((1+x)/2)}

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  17. Find the (dy)/(dx) of y=tan^(-1)(x/(sqrt(1-x^2)))

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  18. Find the (dy)/(dx) of y=sin^(-1)((1-x^2)/(1+x^2))

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  19. "F i n d"(dy)/(dx)"if"y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

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  20. Find the (dy)/(dx) of sqrt(1-x^2)+sqrt(1-y^2)=a(x-y)

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