" (ii) "(x+a)^(m)(x+b)^(n)

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]

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

The value of 'c' of Lagrange's mean value theorem for f(x) = (x-a)^(m) ( x - b)^(n) in [a,b] is

The value of ''cl' in Lagrangel's mean value theorem for f(x)=(x-a)^(m)(x-b)^(n) in [a,b] is

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 (x-a)^(m)(x-b)^(n) on x in[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.

If y=(x-a)^(m)(x-b)^(n) , prove that (dy)/(dx)=(x-a)^(m-1)(x-b)^(n-1)[(m+n)x-(an+bm) ].

If m,n in N, then the value of int_(a)^(b)(x-a)^(m)(b-x)^(n)dx is equal to