Explicit chain rule: quadratic and radicals: Find for , where .

We can use the Chain Rule here: . We shall calculate the factors separately:

For the radicals we have no rule for differentiation, so we must convert them to powers and use the Power Rule:

.

Upon simplification, we get

Now we can substitute these into the Chain Rule and get

Finally, we wish to express the result entirely in terms of x by using the definition of u above: