Math Problem Statement
tentukan selang kemonotonan dan ekstrim fungsi berikut f(x) = x² - 3x + 1/x-3
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
Monotonicity
Critical Points
Singular Points
Formulas
Derivative of quotient: f'(x) = (g'(x)h(x) - g(x)h'(x)) / (h(x))^2
Quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a
Theorems
First derivative test
Quadratic formula
Suitable Grade Level
Grades 10-12
Related Recommendation
Monotonicity and Extrema of Rational Function f(x) = (x² - 3x + 1)/(x - 3)
Determine Concavity and Inflection Points for f(x) = (x² - 3x + 1)/(x - 3)
Find Critical Points, Local Maxima, Minima, and Inflection Points for f(x) = 3/4 * (x^2 - 1)^(2/3)
Determine Concavity and Inflection Points of f(x) = (x² - 3x + 1)/(x - 3)
Determine Concavity Intervals and Inflection Point of f(x) = (x + 1)² / x