`f(x)=x(x-4)^2,` interval `[0, 4]`

f(x)=(x-2)(x-3)(x-4) interval [2,4]

Verify Rolle's theorem for the following functions f(x)=(x-2)(x-4)^2 in the interval [2, 4]

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x(x-4)^(2) in the interval [0,4].

Verify Rolle's theorem for the following functions in the given intervals. f(x) = x(x-4)^(2) in the interval [0,4].

Verify the truth of Rolle's Theorem for the following functions : f(x)=(x-2)(x-4)^(2) in the interval [2, 4].

Statement - 1 : Rolle's Theorem can be applied to the function f(x)=1+(x-2)^(4//5) in the interval [0, 4] and Statement - 2 : f(x) is continuous in [0, 4] and f(0)=f(4) .

Find the value of c, of mean value theorem.when (a) f(x) = sqrt(x^(2)-4) , in the interval [2,4] (b) f(x) = 2x^(2) + 3x+ 4 in the interval [1,2] ( c) f(x) = x(x-1) in the interval [1,2].

Verify Lagrange's Mean Value Theorem for the function : f(x) = x (x - 1) (x - 2) (x - 3) in the interval [0,4]

Verify Lagrange's Mean Value theorem for the following functions in the given intervals f(x) = x^(2) + x -2 in the interval [0,4] .