Math Problem Statement

Given f(x)=4⋅arcsin(e^(8x)), find f′(x).

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Chain Rule
Inverse Functions

Formulas

f'(x) = 4 * (1/sqrt(1 - (e^(8x))^2)) * (8e^(8x))

Theorems

Chain Rule

Suitable Grade Level

Grades 11-12