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.