Math Problem Statement
If f ( x )
8 ( sin ( x ) ) x , find f ' ( 3 ) .
Solution
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Math Problem Analysis
Mathematical Concepts
Differentiation
Product Rule
Quotient Rule
Trigonometric Functions
Formulas
Product Rule: (uv)' = u'v + uv'
Quotient Rule: (f/g)' = (g*f' - f*g') / g^2
Derivative of sin(x): d/dx(sin(x)) = cos(x)
Theorems
Product Rule
Quotient Rule
Suitable Grade Level
Grades 11-12
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