Verify Lagrange's mean-value theorem for each of the following functions
`f(x) = log x " on " [1, e]`

Verify Lagrange's mean-value theorem for each of the following functions f(x) = x^(⅔) " on " [1, 0]

Verify Lagrange's mean-value theorem for each of the following functions f(x) = e^(x) " on " [0, 1]

Verify Lagrange's mean-value theorem for each of the following functions f(x) = tan^(-1) x " on " [0, 1]

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

Verify Lagrange's mean-value theorem for each of the following functions f(x) = sin x " on " [(pi)/(2), (5pi)/(2)]

Verify Lagrange's mean-value theorem for each of the following functions f(x) = (sin x + cos x) " on " [0, (pi)/(2)]

Verify Lagrange's mean-value theorem for each of the following functions f(x) = x^(2) + 2x + 3 " on " [4, 6]

Verify Lagrange's mean value theorem for the following functions: f(x) = log x on [1,e]

Verify Lagrange's mean-value theorem for each of the following functions f(x) = 2x^(2) - 3x + 1 " on " [1, 3]