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Find extreme value of f(x).={{:((x)/(1-x...

Find extreme value of `f(x).={{:((x)/(1-x^2),-1ltxlt0),(x^3-x,0lexlt2):}` on (-1,2)

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MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.

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  2. Determine the absolute maximum and absolute minimum of the following f...

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  3. Find extreme value of f(x).={{:((x)/(1-x^2),-1ltxlt0),(x^3-x,0lexlt2):...

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  4. Find two numbers x and y whose sum is 15 such that xy^2 is maximum.

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  5. If then sum of two positive numbers in constant then show that their p...

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  6. Determine a rectangle of area 25sq. Units which has minimum perimeter.

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  7. Find the altitude of a right circular cylinder of maximum volume inscr...

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  8. Show that the radius of the right cicular cylinder of greatest curved ...

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  9. Show that the semivertical angle of a cone of given slant height is ta...

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  10. A cylindrical open water tank with a circular base is to be made out o...

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  11. A cylindrical vessel of capacity 500 cubic metres open at the top is t...

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  12. Find the coordinates of the point on the curve x^2y - x + y = 0 wher...

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  13. Find the points on the curve y = x^2+1 which are nearest to the point ...

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  14. Show that the minimum distance of a point on the curve (a^(2))/(x^(2))...

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

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  16. Show that the shrtest distance of the point (0, 8a) from the curve ax^...

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  17. Shows that the triangle of greatest area that can be inscribed in a ci...

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  18. Determine the differentials in each of the following cases. y = x^3 - ...

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  19. Determine the differentials in each of the following cases. y = sin^2 ...

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  20. Determine the differentials in each of the following cases. y = (1 +sq...

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