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

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

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PSEB-CONTINUITY AND DIFFERENTIABILITY-Exercise
  1. Find dy/dx in the following: sin^2y + cosxy = k

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

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

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  4. y=tan^(-1)((3x - x^3)/(1-3x^2), -1/sqrt3<x<1/sqrt3 ਵਿੱਚ dy/dx ਪਤਾ ਕਰੋ।

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  5. y=cos^(-1)((1 - x^2)/(1+x^2), 0<x<1 ਵਿੱਚ dy/dx ਪਤਾ ਕਰੋ।

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  6. Find dy/dx in the following:y=sin^-1((1 - x^2)/(1+x^2), 0<x<1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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