We review the rules of differentiation.

### 1 Table of derivatives

In this section we present the derivatives of the fundamental functions in calculus.

### 2 Combining functions

The following list shows how to find the derivative of a combination of functions.

- 1.
- Constant multiple rule: or, in condensed form:
- 2.
- Sum and difference rules: or, in condensed form:
- 3.
- Product rule: or, in condensed form:
- 4.
- Quotient rule: or, in condensed form:
- 5.
- Chain rule: or, in Leibniz notation, if is a function of and is a function of , then In words, the derivative of a composition is the derivative of the outside times the derivative of the inside.

### 3 Problems

Examples of the differentiation rules can be found in Chapter 2 of the Calculus I textbook (also at ximera.osu.edu/math)

2024-09-27 13:57:45