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

Differentiate the following w.r.t.x.
`tan^(-1)((x)/(sqrt(a^2 - x^2)))`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Differentiate the following w.r.t. x: tan^-1((3x-x^3) / (1-3x^2)),-1...

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

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

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  4. Differentiate the following w.r.t. x , tan^-1((sqrt(1+x^2)-1)/x)

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

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

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

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  8. Differentiate the following w.r.t.x. tan^(-1)(sec x + tan x)

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

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

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  11. Differentiate the following w.r.t. x: sin^-1x+sin^-1sqrt(1-x^2),-1lex...

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

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  13. If y = cot^-1{(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))}...

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  14. Differentiate w.r.t x : cot^-1{(sqrt (1+sin x) + sqrt (1-sin x))/(sqrt...

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  15. If y = tan^(-1)((5ax)/(a^2 - 6x^2)) . Prove that (dy)/(dx) = (3a)/(a^2...

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  16. If y = tan^-1 (4x)/(1+5x^2) + tan^-1(2+3x)/(3-2x), prove that dy/dx = ...

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  17. If f(x) = tan^-1x,g(x) = tan^-1((1+x)/(1-x)) fo |x| < 1, show that f' ...

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  18. If sqrt(1-x^6)+sqrt(1-y^6)=a^3(x^3-y^3), prove that : dy/dx = x^2/y^2s...

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  19. If y = tan^-1(cotx) + cot^-1(tanx), then prove that : dy/dx + 2 = 0

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  20. Differentiate : cos(2x+3)

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