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Show that (logx)/x has a maximum value a...

Show that `(logx)/x` has a maximum value at `x=e` .

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RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. Find the local extremum values of the following functions: f(x)=(x-1...

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  2. The function y=alogx+b x^2+x has extreme values at x=1 and x=2 . Find ...

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  3. Show that (logx)/x has a maximum value at x=e .

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  4. Find the maximum and minimum values of the function f(x)=4/(x+2)+x ...

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  5. Find the maximum and minimum values of the function f(x)=tanx-2x .

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  6. If f(x)=x^3+a x^2+b x+c has a maximum at x=-1 and minimum at x=3 . Det...

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  7. Prove that f(x)=sinx+sqrt(3)cosx has maximum value at x=pi/6 .

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  8. Find the maximum and minimum values of f(x)=2x^3-24 x+107 in the in...

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  9. Find the second order derivative of f(x)=sinx with respect to x .

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  10. Find the maximum and minimum values of f(x)=sinx+1/2cos2x in [0,\ pi...

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  11. Find the maximum and minimum values of f(x)=x^(50)-x^(20) in the in...

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  12. Find the maximum and minimum values of f(x)=x+sin2x in the interval...

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  13. Find the difference between the greatest and least values of the fun...

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  14. Show that f(x)=sinx(1+cosx) is maximum at x=pi/3 in the interval [0,\ ...

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  15. Find the absolute maximum value and the absolute minimum value of f...

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  16. Find the absolute maximum value and the absolute minimum value of f...

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  17. Find both the maximum and the minimum value of 3x^4-8x^3+ 12 x^2-48 x+...

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  18. Find the absolute maximum and absolute minimum values of f(x)=4x-(x...

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  19. Find the absolute maximum and absolute minimum values of f(x)=(x-1)...

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  20. Find the absolute maximum and absolute minimum values of f(x)=3x^4-...

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