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

Differentiate the following w.r.t.x :
`log(log x) , x lt 1`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Differentiate the following w.r.t. x: e^x+e^(x^2)+. . . .+e^(x^5)

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  2. Differentiate the following w.r.t.x : sqrt(e^(sqrt(x)), x gt 0

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  3. Differentiate the following w.r.t.x : log(log x) , x lt 1

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  4. Differentiate the following w.r.tx: (cosx)/(logx), x>0

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  5. Differentiate the functions : cos x cos 2 x cos 3x

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

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  7. Differentiate the functions : (logx)^(tanx)

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  8. Differentiate the functions : x^x - 6^(cosx)

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

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

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  11. Differentiate the function w.r.t. x : (logx)^x + x^logx

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  12. Differentiate the function w.r.t. x : (sinx)^x + sin^-1sqrtx

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  13. Differentiate the function w.r.t. x : x^sinx + (sinx)^cosx

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  14. Differentiate the function w.r.t. x : x^(xcosx) + (x^2 +1)/(x^2 - 1)

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  15. Differentiate the following w.r.t. x: (x cos x)^x + ( x sin x )^(1//...

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  16. Find dy/dxof the function : x^y+y^x = 1

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  17. Find (dy)/(dx) if x^y = y^x.

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  18. Find dy/dxof the function :(cosx)^y = (cosy)^x

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  19. Find dy/dxof the function :xy = e^(x-y)

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  20. Find the derivative of the function given by f(x) = (1+x)(1+x^2)(1+x^4...

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