Review of functions of two variables: Chain rule and implicit differentiation of a function of two or more variables

 In this post, we are going to review the chain rule for the partial derivatives of z = f(x,y) where x and y are functions of two independent variables u and v. Then we will review the higher order partial derivatives.

Chain rule of a function of two variables x and y where x and y are function of two independent variables

Implicit differentiation of a function of more than two variables

Next time will review Directional derivatives, maxima and minima.