Math Problem Statement
Consider the function:f(x)=ln(((1x+2)^5)3√(x^4+2))/((2x+5)^3). Find f′(0).
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Logarithmic Differentiation
Logarithmic Properties
Formulas
Derivative of ln(u) = (1/u) * du/dx
Product rule: (uv)' = u'v + uv'
Chain rule: d/dx [f(g(x))] = f'(g(x)) * g'(x)
Theorems
Logarithmic differentiation
Properties of logarithms
Suitable Grade Level
Grades 11-12
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