Taking a Calculus Road TripClimb every mountain, ford every stream: Positive and negative slopesI can’t think of a travel metaphor for this section: Concavity and inflection pointsThis vale of tears: A local minimumA scenic overlook: The absolute maximumCar trouble: Teetering on the cornerIt’s all downhill from hereYour travel diaryFinding Local Extrema — My Ma, She’s Like, Totally ExtremeCranking out the critical numbersThe first derivative testThe second derivative test — no, no, anything but another test!Finding Absolute Extrema on a Closed IntervalFinding Absolute Extrema over a Function’s Entire DomainLocating Concavity and Inflection PointsLooking at Graphs of Derivatives Till They Derive You CrazyThe Mean Value Theorem — GRRRRR