Product Rule and Quotient Rule

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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.

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

Subtitles are provided through the generous assistance of Jimmy Ren.

Related Resources

Lecture summary and Practice problems (PDF)

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  • English - US (SRT)