Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Exponential functions
Logarithmic functions
Trigonometric functions
Product rule
Chain rule

Formulas

d/dx (e^x) = e^x
d/dx (ln(x)) = 1/x
Product rule: (uv)' = u'v + uv'
Chain rule: (f(g(x)))' = f'(g(x))g'(x)

Theorems

Fundamental Theorem of Calculus
Exponential Differentiation Rule
Logarithmic Differentiation Rule
Product Rule of Differentiation
Chain Rule of Differentiation

Suitable Grade Level

Grade 11-12 (Advanced Calculus)