Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Tangent lines
Logarithmic differentiation
Product rule
Quotient rule
Chain rule
Formulas
Derivative of logarithmic functions: d/dx[ln(u)] = 1/u * du/dx
Product rule: d/dx[uv] = u'v + uv'
Quotient rule: d/dx[u/v] = (u'v - uv')/v^2
Chain rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)
Theorems
Chain Rule
Product Rule
Quotient Rule
Suitable Grade Level
Grade 12 or Undergraduate Calculus