if f(x) =x^a logx n f(0)=0 , den d value of  a 4 vich rolles theorem can b applied in [0,1) is? ans:1/2

 

In [0,1] langranges mean value theorem is not applicabl 2

a] f(x)={ 1/2 -x ,  x<1/2                      c] f(x)=xIxI

 

             [1/2 -x]^2, x>=1/2                 d]f(x) =IxI

 

b] f(x)={sinx/x , x=/ 0

            1, x=0                                       

 

if f(10=0 n f^1(x) >f(x) 4 all x>=1 den f(x)>0 4 all x belongs 2

 

a] (1,infinity)  b] (0,1/2)  c] (-infnty,-1)   d](-1,0)

 

d point on d curve f(x)=x^2-4x+3 b/w (1,0)  n (3,0) ver tagt drawn is // x-axis , is

 

a](2,1)        b] (2,-1)        c] (-1,2)        d] (-2,1)