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Find two positive numbers x and y suc...

Find two positive numbers `x` and `y` such that `x+y=60` and `x y^3` is maximum.

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RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. Find the absolute maximum and minimum values of a function f given ...

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  2. Find two numbers whose sum is 24 and whose product is as large as p...

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  3. Find two positive numbers x and y such that x+y=60 and x y^3 is max...

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  4. Find two positive numbers x and y such that their sum is 35 and the ...

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  5. Amongst all pairs of positive numbers with product 64, find those wh...

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  6. Find two positive numbers whose sum is 14 and the sum of whose squa...

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  7. Find the second order derivative of x^19+cosx with respect to x

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  8. Find the second order derivative of f(x)= x^7+tanx with respect to x

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  9. Find the minimum value of a x+b y , where x y=c^2 and a ,\ b ,\ c a...

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  10. Show that all the rectangles with a given perimeter, the square has...

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  11. Show that of all the rectangles of given area, the square has the s...

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  12. Show that of all the rectangles inscribed in a given circle, the sq...

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  13. Find the second order derivative of f(x) = (tanx)^2 with respect to x

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  14. Find the second order derivative of x^100 with respect to x

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  15. Find the derivative of x^2+y^2=a^2 with respect to x .

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  16. Find the derivative of x^3+y^3 = sinx with respect to x .

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  17. Find the derivative of x^4+y^4=cosx with respect to x

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

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  19. Find the derivative of x+y^6= tanx with respect to x

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  20. Find the derivative of tan(x+y)= y^3 with respect to x

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