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

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

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The correct Answer is:
`1/sqrt(x^(2)+a^(2))`
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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(f) (LONG ANSWER TYPE QUESTIONS (I))
  1. Differentiate the following w.r.t. x : tan^(-1)((e^(2x)+1)/(e^(2x)-1...

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

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

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

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

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

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  7. Differentiate the following w.r.t. x : e^(ax)/(sin(bx+c))

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  8. Differentiate the following w.r.t. x : 1/3e^(x)-5e

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  9. Differentiate the following w.r.t. x : e^(x)+2cosx

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

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

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

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  13. Differentiate the following w.r.t. x : sin(logx),xgt0

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  14. Differentiate the following w.r.t. x : log(cos5x)

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  15. Differentiate the following w.r.t. x : cot(logx+e^(sqrtx))

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  16. Differentiate the following w.r.t. x : 2l(n)((x-1)/(x+1))

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  17. Differentiate the following w.r.t. x : x^(2)l(n)(sqrt((x^(2)+9)/(x^(...

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  18. Differentiate the following w.r.t. x : ln(secx+tanx)

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  19. Differentiate the following w.r.t. x : l(n)(sqrt((1-cosx)/(1+cosx)))

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

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