# Session 1: Introduction to Derivatives

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## Overview

This session provides a brief overview of Unit 1 and describes the derivative as the slope of a tangent line. It concludes by stating the main formula defining the derivative.

## Lecture Videos and Notes

### Video Excerpts

» Clip 1: Introduction to 18.01 (00:03:00)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

» Clip 3: Limit of Secants (00:03:00)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

» Clip 4: Slope as Ratio (00:02:00)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

» Clip 5: Main Formula (00:03:00)

From Lecture 1 of 18.01 Single Variable Calculus, Fall 2006

## Worked Example

Secants and Tangents

Please use the mathlet below to complete the problem.

## Mathlet

Secant Approximation

## Recitation Video

### Definition of Derivative

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### Graphing a Derivative Function

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