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The function f(x)= x^((1)/(x)) is-...

The function `f(x)= x^((1)/(x))` is-

A

increasing in `(1, oo)`

B

decreasing in `(1, oo)`

C

increasing in `( -oo, e)` and decreasing in `(e, oo)`

D

decreasing in `(1, e)` and increasing in `(e, oo)`

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 7
  1. The locus of the point of intersection of a pair of perpendicular tang...

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  2. The straight line x+ y= sqrt(2) p will touch the hyperbola 4x^(2) - ...

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  3. If the focal chord of y^(2)=16x is a tangent to the circle (x-6)^(2) +...

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  4. The area (in square unit ) bounded by the curves y= |x| - 1 and y= ...

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  5. If the normal at the point ( bt(1)^(2), 2 bt(1)) to the parabola y^(2...

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  6. The line y= mx +c touches the hyperbola b^(2) x^(2) - a^(2) y^(2) = a...

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  7. The least value of the sum of any positive real number and its recipro...

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  8. The function f(x)= x^((1)/(x)) is-

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  9. If the chord of contact of tangents from a point on the circle x^(2) +...

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  10. The value of x for which the polynomial 2x^(3) - 9x^(2) + 12x +4 is a ...

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  11. The length of the rectangle of maximum area that can be inscribed in a...

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  12. If the tangent at any point on the ellipse (x^(2))/(a^(2)) + (y^(2))/(...

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  13. The minimum value of 4e^(2x) + 9e^(-2x) is-

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  14. Suppose the function f(x) is defined as follows : f(x)= x(x-1)(x-2)...

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  15. The pressure p and the volume v of a gas are connected by the relation...

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  16. The population of a country doubles in 50 years. Assuming that the rat...

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  17. Let y= f(x) be the function, which passes through (1, 2) and has slop...

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  18. The radius of a cylinder is increasing at the rate of 3 m/s and its a...

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  19. The function f(x)=x^(2)+4x-2 has a minimum value at-

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  20. The normal at any point to a curve always passes through a given point...

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