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Find greatest and least values of `f(x)=(a^2)/x+(b^2)/(1-x),\ x\ in (0,\ 1)(a , b >0)dot`

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BANSAL-APPLICATION OF DERIVATIVE-All Questions
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  2. Find the greatest and least values of function f(x)={-x ,\ \ \ \ -...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

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  18. f(x)=x^(1/5) at x=0 has inflection point. y"\ DdotNdotEdot\ at x=0

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  19. f(x)=x^3a t\ x=0 has inflection point y ' '=0 at x=0 and change sign.

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  20. f(x)=|x^2-1| has no inflection point in its domain as no tangent ca...

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