We have been differentiating functions where the input of the function was x, and it is easy to differentiate with respect to x. Sometimes, we will differentiate composite functions where the input of one function is another functinon entirely. In these cases, we will need to use the Chain Rule. Chain rule is a very important and very useful method of differentiation. It is absolutely critical for doing implicit differentiation which we will explore next class.
Things you should be able to do after today:
- apply the chain rule to differentiate a composite function
- p140 #-13 odd, #14, #15-25 odd, #29-35 odd
- p146 #1-37 odd