https://math.libretexts.org/Bookshelves/Calculus


# MIT 18.01SC | Fall 2010 | Undergraduate

### Chapter 2

In this session we apply the main formula for the derivative to the functions 1/x and x^n. We’ll also solve a problem using a derivative and give some alternate notations for writing derivatives.

### Lecture Video and Notes

#### Video Excerpts

[Clip 1: Example 1: y=1/x](https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/clip-1-example-1-y-1-x/)

[Clip 2: Harder Problem: Triangles Under the Graph of y=1/x](https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/clip-2-harder-problem-triangles-under-the-graph-of-y-1-x/)

[Clip 3: Notation for Derivatives](https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/clip-3-notation-for-derivatives/)

[Clip 4: Example 2: y=xn](https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/clip-4-example-2-y-xn/)

### Worked Example

The Derivative of |x|

- [Problem (PDF)](https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/mit18_01scf10_ex02prb/)
- [Solution (PDF)](https://ocw.mit.edu/courses/18-01sc-single-variable-calculus-fall-2010/resources/mit18_01scf10_ex02sol/)