Here are some example-ish tasks I used to introduct implicit differentiation. First, a warm up, to help students notice and … More
Category: Calculus
Comparing Explicit and Implicit Differentiation
Here was the original problem from Calc Medic: The thought of comparing two strategies made me think of the Compare … More
The Product Rule
Nothing especially groundbreaking here, though maybe there’s something interesting in the use of examples to cover this territory. The next … More
Finding stationary points
Expressing a^x as a power of e
I like this example because it shows how worked examples can be used to help students make sense of a … More
Chain Rule for Exponentials
This is just a bit sloppier than I’d like. But the core idea is to draw similarities between polynomial and … More
Basic Integration
I tend to teach integration towards the beginning of the course. Here is an early example. I tend to default … More
Derivatives with fractional exponents
For this one, I tried to structure the steps. I wanted to make explicit that there are two distinct stages. … More
Derivative of Multiplied and Divided Factors
For this one, I left the final step off. I figured my students could figure that out on their own … More
Basic Derivative Mistake
The example below comes from the Mathematics Enhancement Programme. But — oh no! — a mistake. (I use these materials … More