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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 TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.5
  1. Prove that the functions do not have maxima or minima: f(x) = e^(x)

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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 functio...

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  9. Find both the maximum value and the minimum value of 3x^(4) – 8x^(3) +...

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

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

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

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  13. It is given that at x = 1, the function x^(4) – 62x^(2) + ax + 9 attai...

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

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

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  16. Find two positive numbers x and y such that x + y = 60 and xy^(3) is m...

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

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

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  19. A square piece of tin of side 18 cm is to be made into a box without t...

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

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