Math Problem Statement

e x −4ln(cos(x))

Solution

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Math Problem Analysis

Mathematical Concepts

Exponential Functions
Logarithmic Functions
Trigonometry

Formulas

Derivative of e^x: d/dx(e^x) = e^x
Logarithmic Derivative: d/dx(ln(f(x))) = f'(x)/f(x)
Cosine Derivative: d/dx(cos(x)) = -sin(x)

Theorems

Chain Rule for Differentiation
Logarithmic Differentiation
Trigonometric Identities

Suitable Grade Level

Grades 11-12 (Advanced Calculus/Pre-Calculus)