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Find the intervals in which the function...

Find the intervals in which the function f given by `f(x)=(4sin x -2x-x cos x)/(2+cos x)` is (i) increasing (ii) decreasing.

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The correct Answer is:
`(pi)/(2)lt x lt (3pi)/(2)`
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -MISCELANEOUS EXERCISE - 6
  1. Find the equation of the normal to the curve x^(2)=4y which passes thr...

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  2. Show that the normal at any point theta to the curve x = a cos theta +...

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  3. Find the intervals in which the function f given by f(x)=(4sin x -2x-x...

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  4. Find the intervals in which the function f given f(x)=x^(3)+(1)/(x^(3)...

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  5. Find the maximum area of an isosceles triangle inscribed in the ellips...

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  6. A tank with rectangular base and rectangular sides, open at the top is...

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  7. The sum of the perimeter of a circle and square is k, where k is some ...

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  8. A window is in the form of a rectangle surmounted by a semicircular op...

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  9. A point on the hypotenuse of a triangle is at distance a and b from th...

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  10. Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(...

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  11. Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(...

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  12. Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(...

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  13. Find the absolute maximum and minimum values of the function given by ...

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  14. Show that the altitude of the right circular cone of maximum volume th...

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  15. Let f be a function defined on [a,b] such that f'(x)gt 0, for all x in...

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  16. Show that the height of the cylinder of maximum volume that can be ins...

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  17. Show that height of the cylinder of greatest volume which can be inscr...

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  18. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

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  19. The slope of the tangent to the curve x=t^(2)+3t-8, y=2t^(2)-2t-5 at t...

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  20. The line y= m x +1 is a tangent to the curve y^2 =4 x if th...

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