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Show that the function given by f(x)=(lo...

Show that the function given by `f(x)=(log x)/(x)` has maximum at x = e.

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The correct Answer is:
`=-(1)/(e^(3))lt 0`
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -MISCELANEOUS EXERCISE - 6
  1. Using differentials, find the approximate value of each of the followi...

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  2. Using differentials, find the approximate value of each of the followi...

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  3. Show that the function given by f(x)=(log x)/(x) has maximum at x = e.

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  4. The two equal sides of an isosceles triangle with fixed base b are dec...

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  5. Find the equation of the normal to the curve x^(2)=4y which passes thr...

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  6. Show that the normal at any point theta to the curve x = a cos theta +...

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  7. Find the intervals in which the function f given by f(x)=(4sin x -2x-x...

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  8. Find the intervals in which the function f given f(x)=x^(3)+(1)/(x^(3)...

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  9. Find the maximum area of an isosceles triangle inscribed in the ellips...

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  10. A tank with rectangular base and rectangular sides, open at the top is...

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  11. The sum of the perimeter of a circle and square is k, where k is some ...

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  12. A window is in the form of a rectangle surmounted by a semicircular op...

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  13. A point on the hypotenuse of a triangle is at distance a and b from th...

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  14. Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(...

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  15. Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(...

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  16. Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(...

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  17. Find the absolute maximum and minimum values of the function given by ...

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  18. Show that the altitude of the right circular cone of maximum volume th...

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  19. Let f be a function defined on [a,b] such that f'(x)gt 0, for all x in...

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  20. Show that the height of the cylinder of maximum volume that can be ins...

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