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Prove that the functions do not have ma...

Prove that the functions do not have maxima or minima:
h(x) = `x^(3) +x^(2) +x+1`

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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.5
  1. Prove that the following functions do not have maxima or minima:(i) f...

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

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

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

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

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

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

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  8. Find the maximum profit that a company can make, if the profit functi...

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

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

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

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

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

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

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

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

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  17. Find two positive numbers x and y such that their sum is 35 and the ...

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  18. Find two positive numbers whose sum is 16 and the sum of whose cube...

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  19. A square piece of tin of side 18 cm is to be made into a box withou...

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  20. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box ...

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