HTSEFP: Implicit functions

1Solving an ODE, and more¶

1.1Examples¶

• Assignment 4, question 3

2Finding partial derivatives at a point¶

If given the point, show that the equations are satisfied at the point, then show that the equations determine certain variables as functions of certain others, then find the partial derivatives at that point. Alternatively, if not given the point, show what points for which the equations can be solved for the independent variables.

2.1Examples¶

• Assignment 4, questions 4 and 5
• Winter 2006 final, question 1
• Winter 2011 final, question 1