f(x)=(x-a)^(m)(x-b)^(n)," (where "m,n" are positive integers) in interval "[a,b]

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

Solve (x-1)^(n)=x^(n), where n is a positive integer.

If (x-a)^(2m)(x-b)^(2n+1), where m and n are positive integers and a>b, is the derivative of a function f then-

If (x-a)^(2m) (x-b)^(2n+1) , where m and n are positive integers and a > b , is the derivative of a function f then-

If (x-a)^(2m) (x-b)^(2n+1) , where m and n are positive integers and a > b , is the derivative of a function f then-

If f'(x)=(x-a)^(2n)(x-b)^(2p+1) , when n and p are positive integers, then :

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 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 Rolle's Theorem in the interval [a,b] for the fraction: f(x) = (x-a)^m(x-b)^n,m and n being positive integers. Find the value of 'c'.