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If f(x)=kx^(3)-9x^(2)+9x+3 is monotonica...

If `f(x)=kx^(3)-9x^(2)+9x+3` is monotonically increasing in R , then

A

`klt3`

B

`kle2`

C

`kge3`

D

`kgt2`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-MAXIMA AND MINIMA -LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. If F(x)=x^(3)+bx^(2)+cx+dand0ltb^(2)ltc, then in (-oo,oo)

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  2. The values 'a' for which the function f(x)=(a+2)x^(3)=3ax^(2)+9ax-1 de...

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  3. If f(x)=kx^(3)-9x^(2)+9x+3 is monotonically increasing in R , then

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  4. The value of a so that the sum of the squares of roots of the equation...

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  5. The condition that =x^(3)+ax^(2)+bx+c is an increasing function for al...

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  6. If F(x)=x^(3)+bx^(2)+cx+dand0ltb^(2)ltc, then in (-oo,oo)

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  7. The values 'a' for which the function f(x)=(a+2)x^(3)=3ax^(2)+9ax-1 de...

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  8. If f(x)=kx^(3)-9x^(2)+9x+3 is monotonically increasing in R , then

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  9. The least value of 'a' for which the equation (4)/(sinx)+(1)/(1-sinx)=...

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  10. Minimum value of (Sinx)^(Sinx) is

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  11. The maximum value of sin^(2)xcos^(3)x is

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  12. The maximum value of f(x)=(x-2)^(2)(x-3) is

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  13. A cubic function of x has maximum 10 and minimum -5/2, when x = -3 and...

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  14. If xy(y-x)=16 then y has a minimum value when x=

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  15. f(x)=(x-1)(x-2)(x-3) is minimum at x=

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  16. Maximum value of (x+5)^(4)(13-x)^(5) is

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  17. At x=0,f(x)=(3-x)e^(2x)-4xe^(x)-x

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  18. Minimum value of f(x)=(x-1)^(2)+(x-2)^(2)+..+(x-10)^(2) occurs at x=

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  19. The minimum value of f(x)=2^((log(8)^(3))cos^(2)x)+3^((log(8)^(2))sin^...

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  20. If f(x)={{:(|x|,"if", 0 lt |x| le2),(1,"if", x=0):} then at x=0 has

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