Math Problem Statement

differentiate y=ln(x^2 sin x / (1+x)^1/2 )

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Logarithmic Differentiation
Trigonometric Functions

Formulas

d/dx[ln(u)] = (1/u) * du/dx
Product Rule: d/dx[u * v] = u'v + uv'
Quotient Rule: d/dx[u / v] = (v*u' - u*v') / v^2

Theorems

Chain Rule
Product Rule
Quotient Rule

Suitable Grade Level

College Level (Calculus)