Wednesday, March 1, 2017

lecture 16: chain rule and directional derivatives

I'll work two more chain rule examples. In one case, we'll rid the world of the scourge of implicit differentiation (12.5).

Then we'll find the rate of change of a function in an arbitrary direction in the function's domain. Dot products will appear as will an amazing vector, the gradient vector, that is constructed from the first derivatives of the function (12.6).