Originally Posted by

**SameOldThing** For my calculus final project we are assigned a topic and are supposed to explain how it has helped us in calculus so far. My topic is differentiability which is very broad. Our textbook separates this sections into: how f'(a) might fail to exist, Differentiability implies local linearity, derivatives on a calculator, differentiability implies continuity, and the intermediate value theorem for derivatives.

I have already made a powerpoint explaining the topics themselves and I need help explaining how each section helps further.