Calculus 1000A/B Lecture Notes - Lecture 28: Maxima And Minima

• School: Western University
• Department: Calculus
• Course: Calculus 1000A/B
• Professor: Kiriushcheva

Document Summary

Calculus 1000a lecture 28 section 4. 3 increasing and decreasing functions. In the previous section, we learned the closed interval method to find the absolute maximum and minimum values of a function. However, we cannot apply this to all cases, as we sometimes may not be given an interval- our function could be given for all real numbers. In instances like this, we would use the. Increasing/decreasing test: if a derivative f(cid:859)(cid:894)(cid:454)(cid:895) is positive ( (cid:4666)(cid:1876)(cid:4667)>(cid:882)) on an interval, then f(x) is increasing on the interval, if a derivative f(cid:859)(cid:894)(cid:454)(cid:895) is negative ( (cid:4666)(cid:1876)(cid:4667)