In `[0,1]` Lagranges Mean Value theorem in NOT applicable to `f(x)={1/2-x ; x<1/2 (1/2-x)^2 ;x >=1/2` b. `f(x)={(sin x)/x ,x!=0 1,x=0^` c. `f(x)=x|x|` d. `f(x)=|x|`

Verify Lagrange's mean value theorem for f(x) = (1)/(x) " in " [1, 2]

Find 'C' of Lagrange's mean value theorem for the function f(x)=2x^(3)+x^(2)-x-1, [0, 2]

Find 'C' of Lagrange's mean value theorem for the function f(x) =x^(3)-5x^(2)-3x in [1, 3]

In which of the following functions is Rolles theorem applicable? (a)f(x)={x ,0lt=x<1 0,x=1on[0,1] (b)f(x)={(sinx)/x ,-pilt=x<0 0,x=0on[-pi,0) (c)f(x)=(x^2-x-6)/(x-1)on[-2,3] (d)f(x)={(x^3-2x^2-5x+6)/(x-1)ifx!=1,-6ifx=1on[-2,3]

The value of c in Lagrange's mean value theorem for the function f(x) = x^(2) + 2x -1 in (0, 1) is

Find c of Lagranges mean value theorem for the function f(x)=3x^2+5x+7 in the interval [1,3]dot

Explain why Lagrange's mean value theorem is not applicable to the following functions in the respective intervals : f(x)=(x+1)/x,x in[-1,2]

Explain why Lagrange's mean value theorem is not applicable to the following functions in the respective intervals : f(x)=|3x+1|,x in[-1,3]

Explain why Lagrange's mean value theorem is not applicable to the following functions in the respective intervals: f(x) = (x +1)/(x), x in [-1,2]