Given example problem.
;	First, we must see this problem as a composite of two seperate functions.
	This, then is the composite way of looking at the original problem.
	Now we use the Chain Rule .
	We apply the Chain Rule , and simplify.

 
Why not first simplify the composite function and then differentiate? In the problem above, we could not have done anything to simplify the function we were to differentiate. This new method makes possible what would otherwise be impossible. Now let's do another problem that can be done in more than one way, so that we can verify this new derivative method.

Find the derivative of:

	Given example problem.
	First, we must see this problem as a composite of two seperate functions.
	This, then is the composite way of looking at the original problem.
	Now we use the Chain Rule .
	Here we first use algebra to simplify the original function.
	Then we apply the power rule.
	Notice that we arrived at the same solution both ways.

This rule gives rise to another important rule of differentiation. This rule tells us how to find the derivative of a constant to a variable power: