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

Verify Langrange's mean value theorem for the following functions : f(x)=x+(1)/(x)" in "[1, 3]

Verify Langrange's mean value theorem for the following functions : f(x)=e^(x)" in "[0, 1]

Verify Langrange's mean value theorem for the following functions : f(x)=(1)/(4x-1)" in "[1, 4]

Verify Langrange's mean value theorem for the following functions : f(x)=x(6-x)" in " 3 le x le 4

Verify Langrange's mean value theorem for the following functions : f(x)=(x+1)(x-1) (x-2)" in " [-1, 3]

Verify Langrange's mean value theorem for the following functions : f(x)=x-2 sin x" in " -pi le x le pi

Verify Langrange's mean value theorem for the following functions : f(x)=log_(e)x" in " 1 le x le 2

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

Verify the truth of Lagrange's mean value theorem formula for the following functions : f(x)=sqrt(x^(2)-4)" in " [2, 4]

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