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Differentiate (sqrt(x)+(1)/(x))(x-(1)/...

Differentiate
`(sqrt(x)+(1)/(x))(x-(1)/sqrt(x))` with respect to 'x'.

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`(d)/(dx)[(sqrt(x)+(1)/(x))(x-(1)/sqrt(x))]`
` =(d)/(dx)(x^(3//2))-(d)/(Dx)(X^(-3//2))`
`=(3)/(2)x^(1//2)-(-(3)/(2))x^(-5//2)`
` =(3)/(2)[x^(1//2)+x^(-5//2)]`
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NAGEEN PRAKASHAN-LIMITS AND DERIVATIVES-Miscellaneous Exercise
  1. Differentiate (sqrt(x)+(1)/(x))(x-(1)/sqrt(x)) with respect to 'x'.

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  2. Find the derivative of the following functions from first principles:...

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  3. Find the derivative of the following functions (it is to be understand...

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  4. Find the derivative of the following functions (it is to be understand...

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  5. Find the derivative of the following functions (it is to be understand...

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  6. Find the derivative of the following functions (it is to be understand...

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  7. Find the derivative of the following functions (it is to be understand...

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  8. Find the derivative of the following functions (it is to be understand...

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  9. Find the derivative of the following functions (it is to be understand...

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  10. Find the derivative of the following functions (it is to be understand...

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  11. Find the derivative of the following functions (it is to be understand...

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  12. Find the derivative of the following functions (it is to be understand...

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  13. Find the derivative of the following functions (it is to be understand...

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  14. Find the derivative of the following functions (it is to be understand...

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  15. Find the derivative of the following functions (it is to be understand...

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  16. Find the derivative of the following functions (it is to be understand...

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  17. Find the derivative of the following functions (it is to be understand...

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  18. Find the derivative of the following functions (it is to be understand...

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  19. Find the derivative of the following functions (it is to be understand...

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  20. Find the derivative of the following functions (it is to be understand...

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  21. Find the derivative of the following functions (it is to be understand...

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