Find for

We can use the Product Rule on the two factors. When we take the derivative of the second factor we shall use the Chain Rule.

Let's define the two factors as and .

Now our problem is the familiar Product Rule:.

Now we determine the two derivatives: .

For the derivative of B, we need to use the Chain Rule: Let , so that .

Using the chain rule, we need , and .

Combining these results, we get , or in terms of x: .

Finally, combining all of these results, we get