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If f(x) {:{(2x^2+2/x^2",",0ltabsxle2),(...

If f(x) `{:{(2x^2+2/x^2",",0ltabsxle2),(3",",x gt2):}`then

A

x=1,-1 are the points of golbal minima

B

x=1,-1 are the points of local minima

C

x=0 is the point of local minima

D

x=0 is the points of local minima

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The correct Answer is:
B
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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Single Option Correct Type Questions)
  1. Find the intervals in which the following functions are (a)increasing ...

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  2. If f is twice differentiable such that f"(x)=-f(x) f'(x)=g(x),h'(x)=[...

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  3. If f(x) {:{(2x^2+2/x^2",",0ltabsxle2),(3",",x gt2):}then

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  4. Given a function y=x^(x),xgt0and0ltxlt1. The values of x for which th...

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  5. sinx+cosx=y^(2)-y+a has no value of x for any y, if a belongs

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  6. f:R to R is defined by f(x)==(e^(x^(2))-e^(-x^(2)))/(e^(x^(2))+e^(-x^(...

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  7. Let f(x) be a quadratic expression possible for all real x. If g(x)=...

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  8. Let f(x)=min{1,cos x,1-sinx}, -pi le x le pi, Then, f(x) is

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  9. f(x)={(2-|x^(2)+5x+6|"",xne-2),(a^(2)+1"",x=-2):},then the range of a,...

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  10. Maximum number of real solution for the equation ax^(n)+x^(2)+bx+c=0...

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  11. Maximum number area of rectangle whose two sides are x=x(0),x=pi-x(0...

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  12. f(x)=-1+kx+k neither touches nor intecepts the curve f(x)= In x, then ...

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  13. f(x) is a polynomial of degree 4 with real coefficients such that f(x)...

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  14. A curve whose concavity is directly proportional to the logarithm of i...

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  15. F(x) = 4 tan x-tan^(2)x+tan^(3)x,xnenpi+(pi)/(2)

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  16. If f(x) = { 3 + |x-k|, x leq k; a^2 -2 + sin(x-k)/(x-k), xgtk} has min...

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  17. Let f(x) be linear functions with the properties that f(1) le f(2), f(...

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  18. If P(x) is polynomial satisfying P(x^(2))=x^(2)P(x)andP(0)=-2, P'(3//2...

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  19. If the curve x^(2)=-4(y-a) does not intersect the curve y=[x^(2)-x...

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  20. Let f(x)=x^(2)-2xandg(x)=f(f(x)-1)+f(5-f(x)), then

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