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Find the points of local maxima and loca...

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximm and local minimum values:
`f(x)=xsqrt(1-x),x>0`

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find the points of local maxima and local minima, if any, of the follo...

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

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

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

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

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  6. Prove that x^x has minimum value at x =1/e

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  7. The curve y = (x^2 +ax+b)/(x-10) has a stationary point at (4,1). Find...

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  8. y = (ax-b)/((x-1)(x-4)) has a turning point P (2,-1). Find the values ...

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  9. Find two positive numbers whose sum is 14 and product is maximum.

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  10. Find two positive numbers whose sum is 16 and product is maximum.

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  11. Amongst all pairs of positive numbers with product 256 find those whos...

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

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  13. Find two numbers whose sum is 15 and the square of one multiplied by t...

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  14. Find two positive numbers whose sum is 15 and the sum of whose squares...

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  15. Find two positive numbers 'x' and 'y' such that their sum is 35 and pr...

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  16. Find two positive numbers whose sum is 16 and whose sum of cubes is mi...

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

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  18. How should we choose two numbers, each greater than or equal to -2 who...

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  19. Find the maximum slope of the curve: y = -x^3 + 3x^2 + 2x - 27

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  20. If the sum of the lengths of hypotenuse and a side of a right-angled t...

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