I hope you're all having a great summer! The AP exam results are now in. Well done, kids! Be sure to check your score online (send me a message if you're having difficulty finding your score). Best wishes for September!

Gaggle, I'm writing this message to inform you of the expectations for your knowledge of L'Hôpitals Rule on the upcoming test. In class today, I believe I made a comment indicating that any questions requiring L'Hôpital's Rule on the test would initially be of the indeterminate form 0/0 or ∞/∞. Well, after some consideration, I've changed my mind. Here's the updated information: There will be two questions involving the use of L'Hôpital's Rule: - one question will correspond to questions seen in the first lesson on L'Hôpital's Rule (indeterminate form of 0/0) - the other question will correspond to questions seen in the second lesson on L'Hôpital's Rule (the other indeterminate forms) and may require the use of logarithms - neither question will be worth many marks. Sorry for the change, but I believe it's necessary to better represent the time we've dedicated to L'Hôpital's Rule. PLEASE SPREAD THE WORD and let me know if you have any other questions. Have a great March Break!

Some questions on the connections between continuity and differentiability. Important for your future, regardless of where life takes you. 1) What criteria must be met for a function to be considered continuous at a point where x=a? 2) What does it mean for a function to be considered differentiable at a point where x=a? 3) If a function is continuous everywhere, will it always be differentiable everywhere? 4) If a function is differentiable everywhere, will it always be continuous everywhere? 5) If a function is differentiable everywhere, will its derivative always be continuous everywhere?