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Show that a local minimum value of f(x) ...

Show that a local minimum value of `f(x) = x + 1/x , x ne 0` is greater than a local maximum value.

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the points of local maxima and minima (if any) of each of the fol...

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  2. Find the points of local maxima and local minima, if any, of the follo...

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  3. Show that a local minimum value of f(x) = x + 1/x , x ne 0 is greater ...

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  4. Find the local maxima and local minima, if any, of the following funct...

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  5. Find the difference between the greatest and least values of the funct...

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  6. It is given that at x = 1, the function x^4 - 62x^2 + ax + 9 attains i...

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  7. Amongst all pairs of positive numbers with product 64 find those whose...

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  8. Of all rectangles , each of which has perimeter: 40 cm . Find the one ...

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  9. Prove that the area of right-angled triangle of given hypotenuse is ma...

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  10. Find the area of the largest isosceles triangle having perimeter 18 me...

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  11. A wire 10 meter long is cut into two parts. One part is bent into the ...

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  12. Show that a cylinder of given volume, open at the top, has minimum tot...

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  13. Find the altitude of the circular cylinder of maximum volume that can ...

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  14. Find the altitude of the circular cone of maximum volume that can be i...

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  15. Show that the semi-vertical angle of the right-circular cone of maximu...

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  16. The combined resistance of two resistors R1 and R@ (R1,R2>0) is given ...

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  17. Show that height of the cylinder of greatest volume which can be inscr...

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  18. Show that the surface area of a closed cuboid with surface base and gi...

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  19. A metal box with a square box and vertical sides is to contain 512 c^3...

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  20. An isosceles triangle of vertical angle 2theta is inscribed in a circl...

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