Math Problem Statement

derivative of f(x)=arcsin(2x-1)

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Inverse Trigonometric Functions
Chain Rule

Formulas

Derivative of arcsin(u): d/dx[arcsin(u)] = 1/sqrt(1 - u^2) * du/dx
Chain Rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)

Theorems

Chain Rule

Suitable Grade Level

Grades 11-12, Early College