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Differentiate the following w.r.tx: ta...

Differentiate the following w.r.tx:
`tan^-1((e^(2x)+1)/(e^(2x)-1))`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Differentiate the following w.r.tx: e^(-3x)sin^2 3x

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  2. Differentiate the following w.r.tx: e^(-x^2) sin (logx)

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

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  4. Differentiate the following w.r.tx: log((x+3)+sqrt(x^2+6x+3))

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  5. Differentiate the following w.r.t.x. log(x+sqrt(a^(2)+x^(2)))

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  6. Differentiate the following w.r.tx: xsqrt(x^2+1) + log (x+ sqrt(x^2+...

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  7. Differentiate the following w.r.tx: (e^x(x-1))/((x^2+1))

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  8. Differentiate the following w.r.tx: (e^(ax))/(sin(bx+c))

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  9. Differentiate the following w.r.tx: 1/3 e^x-5e

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  10. Differentiate the following w.r.tx: e^x+2 cos x

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  11. Differentiate the following w.r.t. x: x^2e^x sinx

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  12. Differentiate the following w.r.tx: e^(sec^2 x) + 3 cos^-1x

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  13. Differentiate the following w.r.tx: log(sinsqrt(1+x^2))

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  14. Differentiate the following w.r.t. x: sin(logx), x>0

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  15. Differentiate the following w.r.tx: log(cos5x)

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  16. Differentiate the following w.r.tx: cot(logx+e^(sqrtx))

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  17. Differentiate the following w.r.tx: 2ln((x-1)/(x+1))

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  18. Differentiate the following w.r.tx: x^2ln((sqrt((x^2+9)/(x^2+4))))

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  19. Differentiate the following w.r.tx: ln(Sec x + tanx)

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  20. Differentiate the following w.r.tx: log((1+x)/(1-x))

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