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If y=overset(n)underset(i=1)sum(x-xi)^2,...

If `y=overset(n)underset(i=1)sum(x-x_i)^2,x_i` are constants, then y has minimum value at x=

A

n

B

`sum x_i`

C

`(sum x_i)/n`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  2. The least value of y=(a^2)/x+(b^2)/(1-x) on (0,1) is

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  3. If y=overset(n)underset(i=1)sum(x-xi)^2,xi are constants, then y has m...

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  4. x and y are two + ve numbers sucbs that xy=1 Then the minimum value of...

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  5. If x,y = 12 then the minimum value of x^2+y^2 is

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  6. The greatest value of sin^(3)x+cos^(3)x in [0,(pi)/(2)] is

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  7. The greatest value of xe^(-x) is

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  8. The absolute minimum of y= c cosh (x/c) is

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  9. If a gt b, maximum value of a sin ^2x + b cos ^2 x is

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  10. The minimum value of 27 tan^2 theta+3 cot ^2 theta is

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  11. The minimum value of a^2sec^2theta +b^2 cosec^2 theta is

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  12. The minimum value of 64 sec theta +27 cosec theta where theta lies in ...

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  13. The minimum value of sqrt((e^x"^2)-1) is

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  14. The minimum value of px+qy when xy= r^2 is

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

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

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

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

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

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

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