Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Exponential Functions
Logarithmic Differentiation
Chain Rule
Product Rule
Formulas
f(x) = e^{√x * ln(x)}
Product Rule: (u * v)' = u'v + uv'
Chain Rule: (f(g(x)))' = f'(g(x)) * g'(x)
Theorems
Logarithmic Differentiation Theorem
Chain Rule for Exponentials
Suitable Grade Level
College-Level Calculus or Advanced High School Calculus