Math Problem Statement
Let f(x)=xe^x\cos(x). Find f' \left( \frac{\pi}{6} \right). Please enter your answer in decimal form with three digits after the decimal point.
Solution
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Math Problem Analysis
Mathematical Concepts
Differentiation
Product Rule
Exponential Functions
Trigonometric Functions
Formulas
Product rule: (uv)' = u'v + uv'
Derivative of e^x: d/dx (e^x) = e^x
Derivative of cos(x): d/dx (cos(x)) = -sin(x)
Theorems
Product Rule of Differentiation
Suitable Grade Level
Grades 11-12