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The values of a,b such that x^3+3ax^2+3a...

The values of a,b such that `x^3+3ax^2+3a^2x+b` is increasing on R-{-a} are

A

1,2

B

a,b are any real numbers

C

`(-1,2)`

D

`pm1`

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  2. The value of a such that x^3-ax^2+48x+1 increasing on R is

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  3. The values of a,b such that x^3+3ax^2+3a^2x+b is increasing on R-{-a} ...

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  4. The function f(x) =x^3+ax^2+bx+c,a^2lt=3b has

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  5. The function f(x) =x^3+ax^2+bx+c,a^2lt=3b has

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  6. The condition for f(x) =x^3+px^2+qx+r^',x in R) to have no extreme val...

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  7. The condition that f(x) =ax^3+bx^2+cx+d has no extreme value is

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  8. The condition f(x) =x/(log x) has minimum value at x=

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  9. The function f(x) =xe^(-x)(x in R) attains a maxium value at x= …..

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  10. f(x) = sin x(1+ cos x) has maximum value at x=

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  11. f(x) = sin ^m x cos ^nx has maximum value at x=

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  12. The function y=2x^3-3x^2-12x+8 has minimum at x=

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  13. The function y=x^4-6x^2+8x+11 has a minimum at x=

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  14. The function x (x-1) (x-2) attains its maximum value when x is

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  15. The function f(x) =x/2+2/x has a local minimum at

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  16. The function f(x) =x^5-5x^4+5x^3-1 has

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  17. Let f(x) =a0+a1x^2+a2x^4+…….+anx^(2n) be a polynomial in x in R with 0...

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  18. f(x) =(sin^(-1)x)^2+(Cos^(-1)x)^2 is stationary at

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  19. f(x) =|x| has

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  20. The function which has neither maximum nor minimum at x=0 is

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