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Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: `f(x) = xsqrt(1-x)`

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the local maxima and local minima, if any, of the following funct...

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  2. Find the local maxima and local minima, if any, of the following funct...

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  3. Find the local maxima and local minima, if any, of the following funct...

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  4. Prove that the following functions do not have maxima or minima: f(x) ...

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  5. Prove that the following functions do not have maxima or minima: g(x) ...

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  6. Prove that the following functions do not have maxima or minima: h(x) ...

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  7. Find the absolute maximum value and the absolute minimum value of the ...

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  8. Find the absolute maximum value and the absolute minimum value of the ...

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  9. Find the absolute maximum value and the absolute minimum value of the ...

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  10. Find the absolute maximum value and the absolute minimum value of the ...

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  11. Find both the maximum value and the minimum value of 3x^4-8x^3+12x^2-4...

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  12. At what points in the interval [0,2pi], does the function sin 2x attai...

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  13. What is the maximum value of the function sinx + cosx?

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  14. Find the maximum value of 2x^3 - 24x + 107 in the interval [1,3]. Fin...

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  15. It is given that at x = 1, the function x^4 - 62x^2 + ax + 9 attains i...

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  16. Find the maximum and minimum values of x + sin 2x on [0, 2pi]

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  17. . Find two numbers whose sum is 24 and whose product is as large as po...

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

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

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  20. A square ·piece of tin of side 12 cm is to be made into a box without ...

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