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The function f(x) = x^(x) , x gt 0 , is...

The function `f(x) = x^(x) , x gt 0` , is increasing on the interval

A

`1 le x le e`

B

`x le 0 `

C

`x ge 0`

D

`0 le x le e`

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A
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ICSE-APPLICATIONS OF DERIVATIVES -Multiple Choice Questions
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  4. The function f(x) = x^(2) - 2 x is strictly decreasing in the interva...

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  5. The function f(x) = x^(x) , x gt 0 , is increasing on the interval

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  6. Which of the following function is decreasing of (0,(pi)/(2))

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  7. The function f(x) = x^(x) , x gt 0 , is increasing on the interval

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  8. The value of p so that the function f(x) = sin x - cos x - px + q de...

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  9. If x is real, the minimum value of x^(2) - 8 x + 17 is

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  10. The smallest value of th polynomial x^(3) - 18 x^(2) + 96 x in [0,9]...

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  11. The minimum value of x^(2) + (250)/(x) is

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  12. The function f(x) = (x)/( 2) + (2)/( x) has a local minimum at

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  13. If function f R to R is defined by f (x) = 2x + cos x, then

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  14. At x = (5 pi)/( 6) , the function f (x) = 2 sin 3 x + 3 cos 3 x is

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  15. The function f(x) = x^(x) , x to 0 , has a stationary point at

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  16. The maximum value of (log x)/( x) is

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  17. The minimum value of (x)/( log x) is

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  18. The maximum slope of the curve y = - x^(3) + 3 x^(2) + 9 x - 27 is

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  19. If f(x) = 2 x ^(3) - 21 x^(2) + 36 x - 30, then

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  20. The least value of the function f(x) = ax + (b)/(x) (x gt 0, a gt 0, b...

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