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Show that none of the following functions has a local maximum or a local minimum: `x^3+x^2+x+1` (ii) `e^x`

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RD SHARMA ENGLISH-MAXIMA AND MINIMA-All Questions
  1. Find the points of local maxima and local minima, if any, and local...

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  2. Find the local maximum and local minimum values of f(x)=secx+logcos...

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  3. Show that none of the following functions has a local maximum or a ...

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  4. Show that none of the following functions has a local maximum or a ...

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  5. Find the maximum profit that a company can make, if the profit func...

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  6. At what points, the slope of the curve y=-x^3+3x^2+9x-27 is maximum.

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  7. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 and at x=2 , then f...

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

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  9. If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,\ -1) , find the val...

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  10. Show that the maximum value of (1/x)^x is e^(1//e) .

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  11. Show that sin^p\ theta\ cos^q\ theta attains a maximum, when theta...

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  12. Find the points of local maxima or minima and corresponding local m...

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  13. Find the points of local maxima or minima and corresponding local m...

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  14. Find the points of local maxima or minima and corresponding local m...

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  15. Find the points of local maxima or minima and corresponding local ma...

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  16. Find the points of local maxima or minima and corresponding local m...

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  17. Find the points of local maxima or minima and corresponding local m...

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  18. Find the points of local maxima or minima and corresponding local m...

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  19. Find the points of local maxima or minima and corresponding local m...

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  20. Find the points of local maxima or minima and corresponding local ma...

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