Verify Lagrange's Mean Value Theorem for the function
`f(x)=4(6-x)^(2)" in "5 le x le 7`

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^(2)+2x+3" in " [4, 6]

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

Verify Rolle's theorem for the functions f(x)=(x-1)(x-2)^(2) " in " 1 le x le 2

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+(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)=log_(e)x" in " 1 le x le 2

Verify Mean Value Theorem for the function f(x)= x^(2) in the interval [2, 4].

Is Lagrange's mean value theorem applicable to the function f(x)=4(6-x)^((2)/(3)) in the interval 5 le x le 7 ?