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

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

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PSEB-CONTINUITY AND DIFFERENTIABILITY-Exercise
  1. Differentiate the following w.r.t. x:e^(sin^-1x)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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