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

Differentiate the following w.r.t. x:
`(e^(x))/(sin x)`

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The correct Answer is:
`x ne n pi, n in I`
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.4
  1. Differentiate the following w.r.t. x: (e^(x))/(sin x)

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

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

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

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

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

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

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  8. Differentiate the following w.r.t. x: log (log x), x gt 1

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  9. Differentiate the following w.r.t. x: (cos x)/(logx), x gt 0, x ne ...

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  10. Differentiate the following w.r.t. x: cos (log x+ e^(x)), x gt 0

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

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

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  13. Differentiate the following w.r.t. x : e^(x^3).

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

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

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

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

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  18. Differentiate the following w.r.t. x: log (log x), x gt 1

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  19. Differentiate the following w.r.t. x: (cos x)/(logx), x gt 0, x ne ...

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  20. Differentiate the following w.r.t. x: cos (log x+ e^(x)), x gt 0

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