This course covers the concepts of critical numbers and absolute extremes. By the end of the course, learners will be able to identify critical numbers of various functions, find absolute minimum and maximum values of functions over given intervals, and determine local minimum and maximum points. The course teaches skills such as finding critical numbers of different types of functions, analyzing absolute minimum and maximum values, and identifying local extrema. The teaching method involves solving mathematical problems and exercises related to critical numbers and absolute extremes. This course is intended for individuals interested in calculus, particularly those looking to deepen their understanding of optimization and extremum problems.
Overview
Syllabus
Critical number of (y-1)/(y^2-y+1).
Critical number of a t^(3/4)-2t^(1/4).
Critical number of a x^(4/5)*(x-4)^2.
Critical number of a x^2*e^(-3x).
Find the critical numbers of 2cos(x)+sin^2(x).
abs min and ABS MAX of ln(x^2+x+1) on [-1, 1].
abs min and ABS MAX for x+1/x on [0.2, 4].
abs min and ABS MAX of 2cos(t)+sin(2t), (2014 version).
abs min and ABS MAX for 2cos(t)+sin(2t), full details! (2018 version).
ABS MAX of sin(x)-sin^2(x).
Absolute min/max, local min/max, sect 4.1 #7.
Absolute min/max, local min/max, sect 4.1 #9.
Absolute min/max, local min/max, sect 4.1 #11.
Absolute min/max, local min/max, sect 4.1 #13.
Taught by
blackpenredpen
