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Find the local maxima and local minima, if any, of the functions. Find also the local maximum and the local minimum values, as the case may be:
g(x ) `=(x)/(2) +(2)/(x ) x gt 0`

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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -EXERCISE - 6.5
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  6. Prove that the following functions do not have maxima or minima : ...

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  7. Prove that the functions do not have maxima or minima: g(x) = log ...

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  8. Prove that the functions do not have maxima or minima: h(x) = x^(3)...

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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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  14. Find both the maximum value and the minimum value of f(x)=3x^(4)-8x^(3...

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  15. At what points in the interval [0, 2pi], does the function sin (2x) at...

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  16. What is the maximum value of the function sin x + cos x ?

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

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  18. It is given that at x = 1, the function x^(4)-62x^(2)+ax+9 attains its...

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

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  20. Find two numbers whose sum is 24 and whose product is as large as poss...

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