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If the function f(x) =x^2+alpha//x has a...

If the function `f(x) =x^2+alpha//x` has a local minimum at x=2 , then the value of `alpha` is

A

8

B

18

C

16

D

none

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The minimum value of px+qy when xy= r^2 is

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  2. If f(x) =x-k/x has a maximum value at x=-2 , then k=

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  3. If the function f(x) =x^2+alpha//x has a local minimum at x=2 , then t...

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  4. The constant c of Lagrange's mean value theorem for f(x) =2 sin x+ sin...

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  5. The minimum value of (sin x)^(sin x) is

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  6. If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is

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  7. if x is real , the maximum value of (3x^2+9x+17)/(3x^2+9x+7) is

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  8. If x,y are strictly positive such that x+y=1 then the minimum value of...

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  9. If l^(2)+m^(2)=1 then the max value of l+m is

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  10. If x is real and (a sin x +b cos x)/(c sin x +d cos x) has neither max...

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  11. The greatest value of the function f(x) =sin 2x -x on [-pi//2,pi//2] ...

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  12. The least value of f(x) = sin 2x -x on [-pi//2,pi//2] is

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  13. The difference between the greatest and least value of the function f(...

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  14. For a gt 0, if the function f(x)=2 x^(3) - 9 a x^(2) + 12 a^(2) x + 1...

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  15. If ma and M respectively denote the minimum and maximum of f(x) =(x-1)...

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  16. Let f : R to R be defined, by {{:(k-2x,"if"" "x le -1),(2x+3,"if" " "...

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  17. p and q are distinct prime numbers and if the equation x^2 -px ...

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  18. Given P(x)=x^(4)+ax^(3)+bx^(2)+cx +d such that x=0 is the only real ro...

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  19. A curve passes through the point (2,0) and the lope of the tangent at ...

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  20. The point on the curve y=x/(1+x^2) where the tangent to the curve has ...

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