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Find dy/dx in the following: y=sin^-1(2x...

Find `dy/dx` in the following: `y=sin^-1(2x sqrt(1-x^2))`, `-1/sqrt2ltxlt1/sqrt2`

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PSEB-CONTINUITY AND DIFFERENTIABILITY-Exercise
  1. Find dy/dx in the following:y=sin^-1((1 - x^2)/(1+x^2), 0<x<1

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  2. Find dy/dx in the following: y=cos^-1((2x)/(1+x^2), -1<x<1

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  3. Find dy/dx in the following: y=sin^-1(2x sqrt(1-x^2)), -1/sqrt2ltxlt1/...

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  4. Find dy/dx in the following:y=sec^-1(1/(2x^2-1)), 0ltxlt1/sqrt2

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  5. Differentiate the following w.r.t. x: e^x/(sinx)

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  6. Differentiate the following w.r.t. x:e^(sin^-1x)

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  7. Differentiate the following w.r.t. x: e^x^3

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

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  9. Differentiate the following w.r.t. x: log(cos e^x)

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  10. Differentiate the following w.r.t. x: e^x+e^(x^2)+. . . .+e^(x^5)

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  11. Differentiate the following w.r.t. x: sqrt(e^sqrtx), x>0

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  12. Differentiate the following w.r.t. x: log(log x), x>1

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  13. Differentiate the following w.r.t. x: cosx/logx, x>0

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  14. Differentiate the following w.r.t. x: cos(logx + e^x)

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  15. Differentiate the function w.r.t. x : cosx cdot cos2x cdot cos3x

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  16. Differentiate the function w.r.t. x : sqrt ((x-1)(x-2))/((x-3)(x-4)(...

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  17. Differentiate the function w.r.t. x : (logx)^cosx

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  18. Differentiate the function w.r.t. x : x^x - 2^sinx

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  19. Differentiate the function w.r.t. x : (x+3)^2 cdot (x+4)^3 cdot (x+5)...

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  20. Differentiate the function w.r.t. x : (x+1/x)^x + x^((1+1/x))

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