Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Differentiation
Exponentials
Logarithmic Differentiation
Chain Rule
Product Rule
Formulas
f(x) = e^{u(x)}, where u(x) = √x * ln(x)
f'(x) = e^{u(x)} * u'(x)
u'(x) = (1/2√x)ln(x) + 1/√x
Theorems
Chain Rule
Product Rule
Suitable Grade Level
College-Level Calculus
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