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Find the intervals in which the function...

Find the intervals in which the function f given by f(x) `=x^(3) +(1)/(x^(3)) , xne 0` is
(i) increasing (ii) decreasing .

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Verified by Experts

The correct Answer is:
(i) `x lt -1 ` and `x gt 1` (ii) `-1 lt x lt 1`
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NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.6
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  12. Let f be a function defined on [a, b] such that f ′(x) gt 0, for all x...

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

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

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

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

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  17. The line y = mx + 1 is a tangent to the curve y^(2)= 4x if the value o...

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  18. The normal at the point (1,1) on the curve 2y + x^(2) = 3 is

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  19. Find the equation of the normal to the curve x^(2) = 4y which passes t...

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  20. The points on the curve 9y^(2) = x^(3) , where the normal to the curve...

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