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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) `=(1)/(x^(2)+2)`

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The correct Answer is:
local maximum at x = 0, local maximum value `= (1)/(2)`
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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.5
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  5. Prove that the following functions do not have maxima or minima:(i) f...

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

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

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  14. At what points in the interval [0,""""2pi] , does the function s in" "...

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  15. What is the maximum value of the function s in" "x" "+" "cos" "x ?

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

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  17. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

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  18. Find the maximum and minimum values of the function f(x) = x+ sin 2x, ...

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

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

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