Another pictorial way of thinking about derivatives. This way of thinking generalizes better to understanding more advanced courses than calculus.

A quick primer on second derivatives, third derivatives, and more.

Taylor polynomials are a very powerful feature for approximations, and Taylor series can give new ways to express functions.

Formal derivatives, the definition of epsilon-delta, and the role of L'Hôpital's rule.

What are points? What do you think?

The integral is used to find the mean of a continuous variable, which can provide a perspective as to why the integral and derivative are inverted, unlike what was shown in the previous video.

The implicit differentiation might feel weird, but once you think of each side of the equation as a two-variable function f(x,y), things start to make a lot more sense.

what is e? Why is the derivative of an exponential function proportional to itself?

Visualize what the chain rule and multiplication rule are and why they are true.

Geometric derivative formulas, such as power series and sine derivatives, are represented using geometric intuition.