Compute the derivative of a composition of functions
Apply Chain Rule with Leibniz notation to applied problems with various variable names
Optional: Interpret the Chain Rule graphically
Video2.5.1.Chain Rule Introduction.
In this video we review composition of functions and then use the Chain Rule to compute derivatives of compositions.
Post-video reflection.
Suppose you had a double composition like \(f(g(h(x)))\text{.}\) Apply the Chain Rule twice in a row to figure out the derivative of this.
Video2.5.2.Chain Rule Leibniz Notation.
It is sometimes more convenient - particularly in applied problems with lots of variables coming from, say, physics - to use Leibniz notation to express the derivative of a composition. Let’s see the notation and do an applied example.
Post-video reflection.
When I did the applied example, did the top and bottom dv just cancel?
Video2.5.3.Optional: Chain Rule Graphically.
This video shows one way to interpret what is happening with the Chain Rule graphically
