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Lecture 27

MAT135H1 Lecture 27: Concavity

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Department
Mathematics
Course
MAT135H1
Professor
Natalia Cristina
Semester
Fall

Description
Levond Derivative uaul the uon Lauttu tent urs TG cont On o on I, then f is Lon doanuarol on 1 We see that ti on oo, an by the Lan cavTHy test the graph os f conc. Totu t P on a curve y Ts an T Tc conetin nour there and the curvu from Lonv. ward to Lonc downward, or from conc downward to upward Cid Liu The wond deNati teunt that contTnuons near dual Minimum at C t o, f uay a Laal mouTmum at c then and We have So f So there Ts a loual win. at What happend when 6 x we nave t Ex with and Co ert lan s an hen but at y we have a Lo at may and also a local min hun nary LS Suc) a o wu can't conclude from the second der tent we need t uw the Grgt dan .telit Lal number Levond Derivative uaul the uon Lauttu tent urs TG cont On o on I, then f is Lon doanuarol on 1 We see that ti on oo, an by the Lan cavTHy test the graph os f conc. Totu t P on a curve y Ts an T Tc conetin nour there and the curvu from Lonv. ward to Lonc downward, or from conc downward to upward Cid Liu The wond deNati teunt that contTnuons near dual Mini
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