Let and be functions with continuous second derivatives on and . Define a function for so that is one of the values that satisfies the generalised mean value theorem,
.Show that.
Hey so has anyone managed to solve this?
The hint given is that differentiate each side of
with respect to x, collect the terms that involve on one side, divide both sides by x, and then take the limit of each side as .
Despite the hint, I'm still stuck. Is there anyone who can help? Thanks.