Math Problem Statement

If f(x)=4sec(8x)f(x)=4sec(8x), find f'(x)f′(x).

Find f'(4)f′(4).

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Trigonometry
Chain Rule

Formulas

Derivative of sec(u) = sec(u) tan(u) * (du/dx)
Chain rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)

Theorems

Chain Rule
Basic Trigonometric Derivatives

Suitable Grade Level

Grades 11-12 / Early College