Math Problem Statement
What are the first and second derivatives of e^(sqrt x)?
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Exponential Functions
Chain Rule
Product Rule
Formulas
f'(x) = e^{\sqrt{x}} \cdot \frac{1}{2\sqrt{x}}
f''(x) = \frac{g'(x)h(x) - g(x)h'(x)}{[h(x)]^2}
Theorems
Chain Rule
Product Rule
Suitable Grade Level
College Calculus / Advanced High School Calculus