Verify Lagrange's mean value theorem for the function `f(x) = x (x - 3 ) (x - 6)(x-9)` in the interval `[3,5]`.

Verify Lagrange's mean value theorem for the function f(x) = x (x - l ) (x - 2) in the interval [0,1/2] .

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 function : f(x) = x (x - 1) (x - 2) in the interval [0,1/2]

Verify Lagrange's mean value theorem for the following functions f(x) = x^3 - 5x^2 - 3x in the interval [1,3]

Verify Lagrange's mean value theorem for the following functions f(x) = x(x - 2) in the interval [1,3]

Verify Lagrange's mean value theorem for the following functions f(x) = x^2 + x - 1 in the interval [0,4]

Verify Lagrange's mean value theorem for the following functions f(x) = x(x - 1)^2 in the interval [0,1]

Verify Lagrange's mean value theorem for the following functions f(x) = (x - 1)^(2//3) in the interval [1,2]

Verify Lagrange's mean value theorem for the following functions f(x) = x^2 + 2x + 3 in the interval [4,6]

Verify Lagrange's mean value theorem for the following functions f(x) = x^3 - 2x^2 - x + 3 in the interval [0,1]