# Calc2.62

From Example Problems

, where subscripts denote dependence. (Note all and are positive )

We need to show the above follows from the differentiability of f and g:

and

On rearranging we get:

Consider .

By definition of g, and then f:

, where we are taking

Thus:

Take

From we see that as

We also have

Hence

Therefore with as , which is what we set out to prove