and - Sonoma Valley High School

AP Calculus
Product & Quotient Rules of Differentiation
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Product Rule
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What is the DERIVATIVE of f*g(x) ?? Is it f’ * g’ ???
To find the derivative of a product of two functions, use the
definition of derivative:
D[f(x)g(x)]
________ =
dx
Limit of a product
= product of the
limits.
“First times derivative of second + second
times derivative of first.”
Y=2xcosx – 2sinx
Example:
Y’ =