18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part A: Definition and Basic Rules

Session 7: Derivatives of Sine and Cosine

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Overview

The sine and cosine functions are used to describe periodic phenomena such as sound, temperature and tides. Trying to differentiate these functions leaves us with two limits to investigate further.

Lecture Video and Notes

Video Excerpts

Clip 1: Derivative of sin(x), Algebraic Proof

Clip 2: Derivative of cos(x)

Recitation Video

Derivatives of Sine and Cosine

Worked Example

Geometric Derivatives of Sine and Cosine

  Use the mathlet below to complete the worked example.

Mathlet

Creating the Derivative

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Course Info

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Fall 2010
Learning Resource Types
grading Exams with Solutions
notes Lecture Notes
theaters Lecture Videos
assignment_turned_in Problem Sets with Solutions
laptop_windows Simulations