Product Rule and Quotient Rule

Instructor:
Prof. Gilbert Strang

Resources:
Summary with practice problems (PDF)

Free downloads:
Internet Archive (MP4 - 155MB)
iTunes U (MP4 - 83MB)

Professor Strang's Calculus textbook (1st edition, 1991) is freely available here.

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How to find the slope of f(x) times g(x) ? Use the Product Rule.

The slope of f(x)g(x) has two terms:

f(x) times (slope of g(x)) PLUS g(x) times (slope of f(x))

The Quotient Rule gives the slope of f(x) / g(x) . That slope is

[[ g(x) times (slope of f(x)) MINUS f(x) times (slope of g(x)) ]] / g squared

These rules plus the CHAIN RULE will take you a long way.

  
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