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

Verify Rolle's theorem for f(x) = x^2 +2X-8 on [-4,2]

Discuss the applicability of Rolle's theorem to the function f(x)=x^(2)+1" on "[-2,2] .

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

Verify Lagrange's mean value theorem in the interval [a,b] if (ii) f(x) = x^2-4x-3,a=1,b=4

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

Verify Lagrange's mean value theorem for the function f defined by f (x) = x^2 + x - 1 in the interval [0,4] .

Solve: 5(x-2)-4(x-2) = 2-x