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Show that all the rectangles with a give...

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

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SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
  1. The sum of two numbers is 24. Find the numbers, so that their product ...

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  2. Find two positive numbers whose product is 256 and whose sum is least.

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

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  4. Find the intervals where function is increasing function y = cos x + s...

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  5. Show that 2 sin x + than x ge 3x all x in (0, pi/20).

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  6. Find the approximate value of root(6)(63).

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  7. Find the equation to the tangent and normal tothe parabola y^2 = 4ax a...

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  8. Show that no two normals to a parabola are parallel.

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  9. The slope of the curve 2y^2 = ax^2 + b at (1, -1) is- 1. Find a and b.

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  10. Find the equation of the normal to the curve y= 2x^2 + 3 sin x at x = ...

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  11. Determine the point on the curve y = ln x, at which the tangent will b...

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  12. Find the extreme values of the function y = X + 1/x.

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  13. Find the maximum and minimum value of x+1/x

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  14. Find the intervals in which the function f(x) = 2x^3 + 9x^2 + 12x + 20...

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  15. For which value of x, the function f(x)=4-x-x^2is maximum or minimum.

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  16. etermine the sub-interval of (-(pi)/(2),(pi)/(2)), in which f(x)=tan x...

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  17. Find the equation of the normal to the curve 5x^2+3y^2=23 at (2,-1)

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  18. Find the slope of the tangent to the curve y =(logex)^2 at x=1/e

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  19. Find the equation of normal to the curve 3y^2=16x at (3,4).

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  20. Determine the point on the curve y = ln x, at which the tangent will b...

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