Single Variable Calculus

Session 2: Examples of Derivatives

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Overview

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

Clip 2: Harder Problem: Triangles Under the Graph of y=1/x

Clip 3: Notation for Derivatives

Clip 4: Example 2: y=xn

Worked Example

The Derivative of |x|

• Problem (PDF)
• Solution (PDF)

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