Math 210 Lecture 8: Local extrema
Daniel Ingebretson
University of Illinois at Chicago
June 28, 2024
,Local extrema of y = f (x)
Let f (x) = x 4 − 2x 3 . Find the critical points and determine
whether each is a local max, local min, or neither.
,Local extrema of z = f (x, y)
, Local extrema of z = f (x, y)
(a, b) in the domain of f is a critical
point if
fx (a, b) = fy (a, b) = 0, or
Daniel Ingebretson
University of Illinois at Chicago
June 28, 2024
,Local extrema of y = f (x)
Let f (x) = x 4 − 2x 3 . Find the critical points and determine
whether each is a local max, local min, or neither.
,Local extrema of z = f (x, y)
, Local extrema of z = f (x, y)
(a, b) in the domain of f is a critical
point if
fx (a, b) = fy (a, b) = 0, or
