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Prove that (1/x)^(x) has maximum value i...

Prove that `(1/x)^(x)` has maximum value is`(e)^(1/e)`.

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 1 (e) (Long Answer Type Questions (I))
  1. Find the maximum value and the minimum value and the minimum value of ...

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  2. Find the points of local maxima and local minima, if any, of the follo...

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  3. Find the points of local maxima and local minima, if any, of the follo...

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  4. Find the points of local maxima and local minima, if any, of the follo...

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  5. Find the points of local maxima and local minima, if any, of the follo...

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  6. Find the points of local maxima and local minima, if any, of the follo...

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  7. Find the local maxima and local minima, if any, of the followig functi...

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  8. Find the points of local maxima and local minima, if any, of the follo...

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  9. Find the points of local maxima and local minima, if any, of the follo...

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  10. Find the points of local maxima and local minima, if any, of the follo...

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  11. Find the points of local maxima and local minima, if any, of the follo...

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  12. Find the points of local maxima and local minima, if any, of the follo...

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  13. Find the points of local maxima and local minima, if any, of the follo...

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  14. Find the points of local maxima and local minima, if any, of the follo...

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  15. Find the points of local maxima and local minima, if any, of the follo...

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  16. Find the points of local maxima and local minima, if any, of the follo...

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  17. Find the points of local maxima and local minima, if any, of the follo...

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  18. Prove that (1/x)^(x) has maximum value is(e)^(1/e).

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  19. The curve y=ax^(2)+bx has a turning point at (1, -2). Find the values ...

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  20. If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,-1), find the value ...

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