Math Problem Statement
Derivatives Evaluate the derivatives of the following functions. f(x)=(2x)^(4x)
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Logarithmic Differentiation
Formulas
Logarithmic differentiation: ln(f(x)) = h(x) ln(g(x))
Derivative of a logarithmic function: d/dx[ln(f(x))] = f'(x)/f(x)
Product rule: d/dx[uv] = u'v + uv'
Theorems
Chain Rule
Product Rule
Logarithmic Property: ln(a^b) = b ln(a)
Suitable Grade Level
Grades 11-12 or Introductory Calculus in College
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