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Find the absolute maximum value and t...

Find the absolute maximum value and the absolute minimum value of `f(x)=sinx+cosx` in `[0,\ pi]`

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(i) Given `f(x)=x^3,x in [-2,2]`
finding `f'(x)`
`=3x^2`
putting `f'(x)=0`
...
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NCERT ENGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.5
  1. Find the maximum and minimum values of f(x)=x+sin2x in the interval...

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

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

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  4. Find the maximum and minimum values , if any , of the function f given...

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  5. Find the maximum and minimum values, if any, of the following functio...

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  6. Find the points of local maxima or local minima, if any, of the fol...

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  7. Prove that the following functions do not have maxima or minima: (i)...

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  8. Find the absolute maximum value and the absolute minimum value of f...

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

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

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

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  12. What is the maximum value of the function sinx + cosx?

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

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  14. A wire of length 28 m is to be cut into two pieces. One of the pieces...

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  15. Prove that the volume of the largest cone, that can be inscribed in...

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  16. Show that the height of a closed right circular cylinder of given s...

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  17. Of all the closed cylindrical cans (right circular), of a given volum...

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  18. Show that semi-vertical angle of right circular cone of given total su...

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  19. The point on the curve x^(2) = 2y which is nearest to the point (0, 5...

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  20. Show that the right-circular cone of least curved surface and given...

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