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If F(x)=x^(3)+bx^(2)+cx+dand0ltb^(2)ltc,...

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

A

`f(x)` is a strictly increasing function

B

f(x) has a local maxima

C

f(x) is strictly decreasing function

D

f(x) is bounded

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A
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AAKASH SERIES-MAXIMA AND MINIMA -LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The value of a so that the sum of the squares of roots of the equation...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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