If function `g(x)=x/(lnx)`satisfies Rolle's theorem in `[a, b],a,bin N` then `(a + b)` is equal to

If f(x) satisfies Rolle's theorem for f(x) in [a,b] then int_(a)^(b) f'(x) dx =

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

Verify Rolle's theorem for each of the following functions : Show that f(x) = x (x -5)^(2) satisfies Rolle's theorem on [0, 5] and that the value of c is (5//3)

If the function f(x)=x^3-6x^(2)+ax+b satisfies Rolle's theorem in the interval [1,3] and f'((2sqrt(3)+1)/(sqrt(3)))=0 , then

If the function f(x)=x^(3)-6x^(2)+ax+b satisfies Rolle's theorem in the interval [1,3] and f'((sqrt(3)+1)/(sqrt(3)))=0 , then

If the function f(x)=x^(3)-6x^(2)+ax+b satisfies Rolle's theorem in the interval [1,3] and f'((2sqrt(3)+1)/(sqrt(3)))=0 , then

If the function f(x)= x^(3)-6x^(2)+ax+b satisfies Rolle's theorem in the interval [1,3] and f'((2sqrt(3)+1)/(sqrt(3)))=0 , then

Given n is a positive integer for the function f(x)=5x(x-2)^(n),x in[0,2] ,By Rolle's theorem the value of c is 1/5 then n is equal to