Verify Lagrange's Mean Value theorem for the following functions in the given intervals
f(x) = `tan^(-1)x ` in the interval [0,1]

Verify Lagrange's Mean Value theorem for the following functions in the given intervals f(x) = 1 + 2x -x^(2) in the interval [0,1] .

Verify Lagrange's Mean Value theorem for the following functions in the given intervals f(x) = 1 + 2x -x^(2) in the interval [0,1] .

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] .

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] .

Verify Lagrange's Mean Value theorem for the following functions in the given intervals f(x) = e^(x) in the interval [0,1].

Verify Lagrange's Mean Value theorem for the following functions in the given intervals f(x) = e^(x) in the interval [0,1].

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

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

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

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