In the last section we learned to differentiate quickly rather than having to take the limits. We also learned about the product rule and quotient rule which is used when we are finding the derivative of a function that is being multiplied or divided, respectively. However, to be able to fully use the these three rules on a more variety of functions, we must be knowledgeable of the chain rule. The chain rule summarized mathematically says:
Let's try using the chain rule on another expression:
If you're not sure whether to use the chain rule or not be on the safe side and use it. The chain rule works in all cases, but only works on certain cases. That concludes discussion on the chain rule.