Math Problem Statement
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
Maxima and Minima
Derivative
Natural Logarithm
Formulas
f(x) = x ln(x)
f'(x) = ln(x) + 1
Critical points: ln(x) + 1 = 0 → x = e^(-1)
Theorems
Fundamental Theorem of Calculus
Maxima and Minima Theorem
Suitable Grade Level
Grades 11-12
Related Recommendation
Finding the Absolute Maximum of the Function f(x) = x ln(x) on [e^(-2), e]
Find Absolute Maximum and Minimum Values of f(x) = x - 2 ln(x)
Find Absolute Extreme Values of f(x) = ln(x + 2) + 1/x on [1, 10]
Find the Absolute Minimum of f(x) = 10x(2 - ln x) on [1, e^2]
Finding Absolute Maximum and Minimum for f(x) = x - 3ln(x)