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Lecture 11

MAT135H1 Lecture 11: Derivative as a Function

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Department
Mathematics
Course
MAT135H1
Professor
Natalia Cristina
Semester
Fall

Description
Derivati Peplavina the number a by a variable x on the def on derivative obtain h WATUh Ts a n that asang to a number a the number Suay CH 3Lyn Other Notations Ten w The following notations are ellu valent dx oly Other nota-trans for fuay are The dom Ain of f Ty the set of a Tn the domain Such that f exists h- and the domain of f cr ts LI, D ntia bt Vurt A function fuo TL terontva at a Tf f exists A Sun utkon Ts different able or an open Tinterval ca, Tyr exi,ts for any number c Ca, does not ex and f Ts not different on ble at Theo Mem: T f is dG ferentiable at a, then- Ts continuous at a Howwer, there are continuous funut Tone that are not eren tabe y Study continuity and dTHA entrattuttu is cont. at o erent at Loco does not exrst and thus is not d ferentiable at a Derivati Peplavina the number a by a variable x on the def on derivative obtain h WATUh Ts a n that asang to a number a the number Suay CH 3Lyn Other Notations Ten w The following no
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