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Discuss the extremum of `f(x)=1/3(x+1/x)`

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and ...

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  2. Tangent of an angle increases four times as the angle itself. At what ...

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  3. Discuss the extremum of f(x)=1/3(x+1/x)

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  4. Let g(x)=f(x)+f(1-x) and f''(x)>0AAx in (0,1)dot Find the intervals of...

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  5. Discuss the extremum of f(x)=x(x^2-4)^(-1/3)

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  6. A hours runs along a circle with a speed of 20 km/hr. A lantern is at ...

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  7. A running track of 440 ft is to be laid out enclosing a football field...

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  8. Let x be the length of one of the equal sides of an isosceles triangle...

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  9. The lengths of the medians through acute angles of a right-angled tr...

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  10. If water is poured into an inverted hollow cone whose semi-vertical ...

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

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  12. If f:[-5,5]vecR is differentiable function and iff^(prime)(x) does not...

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  13. Rectangles are inscribed inside a semi-circle of radius rdot Find the ...

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  14. Discuss the applicability of Rolles theorem for the following functi...

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  15. Find the distance covered by a car in 2(2/5) hours at a speed of 46(2/...

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  16. How many roots of the equation (x-1)(x-2)(x-3) + (x-1)(x-2)(x-4) + (x-...

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

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  18. If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles ...

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  19. Draw the graph of f(x)=|(x^2-2)/(x^2-1)| .

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  20. Find the intervals in which the following functions are increasing or ...

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