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Find the maximum value of f(x)=(1/x)^x...

Find the maximum value of `f(x)=(1/x)^x`

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BANSAL-APPLICATION OF DERIVATIVE-All Questions
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  2. If f(x)=x^5-5x^4+5x^3-10 has local maximum and minimum at x=pa n dx=q ...

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  3. Find the maximum value of f(x)=(1/x)^x

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  4. Let f(x)=2x^3=9x^2+12 x+6. Discuss the global maxima and minima of f(x...

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  5. Find the greatest and least values of function f(x)=3x^4-8x^3-18 x^...

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  6. Find the greatest and least values of function f(x)={-x ,\ \ \ \ -...

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  7. Find greatest and least values of f(x)=(a^2)/x+(b^2)/(1-x),\ x\ in...

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  8. Find greatest and least values of f(x)=((a+x)(b+x))/((c+x)),\ x >-...

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  9. Find greatest and least values of f(x)=x-sin2x+1/3sin3x ,\ x\ in [...

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  10. Discuss the global maxima and global minima of f(x)=tan^(-1)(log)e x ...

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  11. The maximum value of x^4e^ (-x^2) is (A) e^2 (B) e^(-2) (C) 12 e...

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  12. Find two positive numbers x and y such that x+y=60\ a n d\ x^3y is max...

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  13. Rectangles are inscribed inside a semi-circle of radius rdot Find the ...

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  14. The tangent to the parabola y=x^2 has been drawn so that the abscissa ...

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  15. A sheet of area 40m^2 is used to make an open tank with square base. F...

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  16. A right circular cylinder of maximum volume is inscribed in a given ri...

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  17. Show that semi-vertical angle of right circular cone of given surfa...

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  18. If the sum of the lengths of the hypotenuse and another side of a righ...

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  19. Find the point (alpha,beta) on the ellipse 4x^2+3y^2=12 , in the first...

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  20. A rectangle is inscribed in an equilateral triangle of side length 2a ...

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