Differential Calculus
How would you like to follow in the footsteps of Euclid and Archimedes? Would you like to be able to determine precisely how fast Usain Bolt is accelerating exactly 2 seconds after the starting gun? Differential calculus deals with the study of the rates at which quantities change. It is one of the two principal areas of calculus (integration being the other).
Content
 Limits
 Taking derivatives
 Derivative applications
1.Limits
Limit introduction, squeeze theorem, and epsilondelta definition of limits

2.Taking derivatives
Calculating derivatives. Power rule. Product and quotient rules. Chain Rule. Implicit differentiation. Derivatives of common functions.

3.Derivative applications
The reason we study calculus, and the reason it was invented, is for its many uses in realworld problems. In particular, derivatives let us optimize functions and study their rates of change. Here we cover optimization, rates of change, L'Hopital's rule, the mean value theorem, and more!
