Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Logarithmic Differentiation
Exponential Functions
Implicit Differentiation
Product Rule

Formulas

y = (√t)^t = t^(t/2)
ln(a^b) = b * ln(a)
Product Rule: (d/dt)[u * v] = u'v + uv'

Theorems

Logarithmic Differentiation
Product Rule

Suitable Grade Level

Grades 11-12 (Advanced Calculus)