Math Problem Statement

log diff for (e^(5x)sin^-1(x))/ln(2x)

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Quotient Rule
Product Rule
Inverse Trigonometric Functions

Formulas

Quotient Rule: (u/v)' = (v * u' - u * v') / v^2
Product Rule: (uv)' = u'v + uv'
Chain Rule for ln(2x) and e^(5x)

Theorems

Quotient Rule
Product Rule
Chain Rule

Suitable Grade Level

Grades 11-12