Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Logarithmic Differentiation
Derivative
Algebra

Formulas

y = sqrt(t / (t + 1)) = (t / (t + 1))^(1/2)
ln(y) = ln((t / (t + 1))^(1/2))
d(ln(y))/dt = (1/2) * (1/t - 1/(t+1))
dy/dt = y * (1/2) * 1/(t(t + 1))

Theorems

Power Rule
Chain Rule
Logarithmic Properties

Suitable Grade Level

College Level Calculus