Math Problem Statement
Given the function f, of, x, equals, 4, natural log, left parenthesis, x, plus, 5, right parenthesis, commaf(x)=4ln(x+5), write an expression that represents the derivative of ff using the limit shown below. You do not have to simplify your answer.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivative
Limit Definition of Derivative
Logarithmic Functions
Formulas
f'(x) = lim(h→0) [f(x+h) - f(x)] / h
f(x) = 4ln(x+5)
Theorems
Limit Definition of Derivative
Properties of Logarithmic Functions
Suitable Grade Level
Grades 11-12, Early College