Dérivées
Vidéos
TODO: review all these videos and add complement or remove the videos out of topics.
The paradox of the derivative
An introduction to what a derivative is, and how it formalizes an otherwise paradoxical idea.
Power Rule through geometry
Introduction to the derivatives of polynomial terms thought about geometrically and intuitively. The goal is for these formulas to feel like something the student could have discovered, rather than so...
Solution des 2 challenges donnés dans la vidéo
Challenge 1
TODO
Challenge 2
TODO
Trig Derivatives through geometry
Introduction to the derivatives trigonometric functions thought about geometrically and intuitively.
Only an article. https://www.3blue1brown.com/lessons/derivatives-trig-functions
Visualizing the chain rule and product rule
The product rule and chain rule in calculus can feel like they were pulled out of thin air, but is there an intuitive way to think about them?
What's so special about Euler's number e ?
What is the derivative of ? Why is its own derivative? This video shows how to think about the rule for differentiating exponential functions.
Implicit differentiation, what's going on here?
How to think about implicit differentiation in terms of functions with multiple inputs, and tiny nudges to those inputs.
Limits and the definition of derivatives
What are limits? How are they defined? How are they used to define the derivative?
Epsilon and L'Hôpital's rule
(ε, δ) "epsilon delta" definitions of limits
How does (ε, δ) "epsilon delta" help us formalize what exactly it means for one value to approach another?
Only an article https://www.3blue1brown.com/lessons/epsilon-delta
L'Hôpital's rule
What is L'Hopital's rule and how does it help us evaluate limits?
Only an article https://www.3blue1brown.com/lessons/l-hopitals-rule
Higher order derivatives
What is the second derivative? Third derivative? How do you think about these?
The other way to visualize derivatives
A visual for derivatives which generalizes more nicely to topics beyond calculus. Thinking of a function as a transformation, the derivative measure how much that function locally stretches or squishe...