If the only point of inflection of the function `f(x)-(x-a)^m(x-b)^n` , `m, n e N` and `m!=n` is at `x=a` then

The constant c of Rolle's theorem for the function f(x)=(x-a)^m(x-b)^n in [a,b] where m,n are positive integers, is

Discuss the applicability of Rolle's theorem of the following functions: f(x) =(x-a)^(m) (x-b)^(n), m, n in Z^(+) , in the interval [a,b]

Verify Rolle’s theorem for the function f(x) = (x - a)m (x - b)^(n) on [a, b] where m and n are positive integers.

Verify Rolles theorem for the function f(x)=(x-a)^m(x-b)^n on the interval [a , b], where m , n are positive integers.

Verify Rolles theorem for the function f(x)=(x-a)^(m)(x-b)^(n) on the interval [a,b], where m,n are positive integers.

Verify Rolles theorem for the function f(x)=(x-a)^(m)(x-b)^(n) on the interval [a,b], where m,n are positive integers.

The minimum value of the fuction f(x) given by f(x)=x^m/m+x^(−n)/n where 1/m+1/n=1 and m>1 is