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]`

In which of the following functions, Rolle's theorem is applicable?

In which of the following function Rolle's theorem is applicable ?

For which of the following functions is Rolle,s Theorem not applicable ?

For which of the following functions is Rolle s Theorem not applicable ?

Consider f(x)=|1-x| 1 lt=xlt=2 a n d g(x)=f(x)+bsinpi/2 x , 1 lt=xlt=2 Then which of the following is correct? Rolles theorem is applicable to both f, g a n d b = 3//2 LMVT is not applicable of f and Rolles theorem if applicable to g with b=1/2 LMVT is applicable to f and Rolles theorem is applicable to g with b = 1 Rolles theorem is not applicable to both f,g for any real b .

For the function f(x)=e^(cos x), Rolle's theorem is

For the function f(x) = e^(cos x) , Rolle's theorem is applicable when

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x(x-4)^(2) in the interval [0,4].

Verify Rolle's theorem for the following functions in the given intervals. f(x) = sinx + cos x in the interval [0 , pi//2] .