We observethat the slopesof the tangentlines to the graphchangefrom negativeto positiveat
The first derivativetest verifiesthis fact. Notethat the slopesof the tangentlines to the graphare negative
for and positivefor
LessonSummary
- We foundintervalswherea functionis increasingand decreasing.
- We appliedthe First DerivativeTest to find extremaand sketchgraphs.
ReviewQuestions
In problems#1–2,identifythe intervalswherethe functionis increasing,decreasing,or is constant.(Units
on the axesindicatesingleunits).