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

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)=e^(x)" in "[0, 1]

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

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-2 sin x" in " -pi le x le pi

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

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

Verify the truth of Lagrange's mean value theorem formula for the following functions : f(x)=(x-1)(x-2)(x-3)" in " 0 le x le 4

Verify the truth of Lagrange's mean value theorem formula for the following functions : 2sin x+sin 2x" in " 0 le x le pi