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The number of integral values of a for w...

The number of integral values of a for which `f (x) = x^(3) +(a+2) x ^(2)+ 3ax+5` is monotonic in `AA x in R.`

A

2

B

4

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
B
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VK JAISWAL ENGLISH-APPLICATION OF DERIVATIVES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  5. Let f (x)= {{:( xe ^(ax)"," , x le 0),( x+ ax ^(2)-x ^(3)"," , x gt 0)...

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  6. Find sum of all possible values of the real parameter 'b' if the diffe...

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  12. Let f (x) = int (0)^(x) ((a -1) (t ^(2)+t+1)^(2) -(a+1)(t^(4)+t ^(2) +...

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  14. Let the maximum value of expression y= (x ^(4)-x ^(2))/(x ^(6) + 2x ^(...

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  15. The least positive vlaue of the parameter 'a' for which there exist at...

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  16. Let f (x) =x ^(2) +2x -t ^(2) and f(x)=0 has two root alpha (t ) and b...

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  17. A tank contains 100 litres of fresh water. S solution containg 1 gm/li...

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  19. It is given that f (x) is defined on R satisfying f (1)=1 and for AA ...

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  20. The number of normals to the curve 3y ^(3) =4x which passes through th...

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  21. Find the number of real root (s) of the equation ae ^(x) =1+ x + (x ^(...

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