Show that the M.V.T. is not applicable to
(i) `f(x) = |x| on [ -1,1]`

Show that the M.V.T. is not applicable to (ii) f(x) = 1/x on [-1,1]

Show that the Rolle's theorem is not applicable for f(x) = x^(1/3) on [-1,1]

Verify Rolle's theorem for (i) f(x) =x^2-5x+4 on [1,4]

Verify Lagrange's mean value theorem in the interval [a,b] if (i) f(x) = x^2+x-1,a = -1,b=1

Show that the following functions do not have any local extremun (i) f(x) = e^x

Find the domain and range of f if . f(x)=|x+1|/(x+1)

Show that an alternating voltage V=V_m sin omegat applied to a resistor R drives a current i= i sin omega t in the resistor.