Les meveDuffercutiate the following function wasCoss

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

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

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

Prove that each of the following functions is strictly decreasing phi(x) = sin x(pi/2 le x le pi)

Check the validity of the Rolle's theorem for the following functions: f(x) = x^2 if 0 le x le 2, = 6-x, if 2 le x le 6

If A={x:-1 le x le 1} = B . Discuss the following functions w.r.t. one-one-onto bijective and write their characteristics.

Examine the continuity of the following function at x = 1 f(x) = {(x+2,-1 le x lt1),(4-x,1 le x):}