Video of the lecture.
Handwritten notes of the lecture.
Waiting room video: Ashkay Venkatesh talking about primes and knots.

Began with an explanation of why the derivative f'(x) of a function f(x) represents the slope to the tangent of the curve y=f(x) at the point x.

Then explained the rules for differentiating: (1) a sum of functions, (ii) a scalar product of a function, (iii) a product of two functions, (iv) a quotient of functions, (v) a composite of functions (the Chain Rule).