MATH 122 Lecture Notes - Lecture 15: Maxima And Minima
17 Oct 2016
Department
Course
Professor
Document Summary
Suppose p is a point in the domain of f. F has a local maximum at p if f(p) is greater than the values of f for points near p. F has a local minimum at p if f(p) is less than the values of f for points near p. Critical point- a point in the domain of f where f"(p)=0 or f"(p) is undefined. Note: max or min will occur at critical points but critical points don"t have to be max or minimum. Test the values around the critical points for the sign of f". Ex 1 find the local maxima and minima of. Test values around your critical points for where the sign changes. Use the table function and make sure it"s on ask for the independent variable. Local max: (positive to negative) @ x=3/2. Local min: (neg to positive) @ x=4. F inc (negative infinity, 3/2) u (4, positive infinity)
