Math Problem Statement
Calculate the derivative for 𝑓(𝑥)=𝑒𝑥(𝑥2+2)(𝑥+2).
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Product Rule
Chain Rule
Formulas
Product rule: (fg)' = f'g + fg'
Chain rule: (f(g(x)))' = f'(g(x)) * g'(x)
Theorems
Product Rule
Chain Rule
Suitable Grade Level
Grades 11-12, College level