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 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) = 2x^(2) - 3x + 1 " on " [1, 3]

Verify Lagrange's mean-value theorem for each of the following functions f(x) = x^(3) + x^(2) - 6x " on " [-1, 4]

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 followin functions f(x)=x^(2)+2x+3on[4,6]

Verify Lagrange's mean-value theorem for each of the following functions f(x) = (x -4) (x -6) (x -8) " on "[4, 10]

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) = (sin x + cos x) " on " [0, (pi)/(2)]