This course teaches the definition of derivatives in terms of limits, including derivatives of specific functions like x^-2 and rational functions. The course covers displacement, velocity, and recognizing limits as derivatives without using L'Hopital's Rule. The teaching method involves explaining various definitions and concepts related to derivatives. The intended audience for this course is individuals interested in calculus and wanting to deepen their understanding of derivatives.
Overview
Syllabus
Definition of derivative in terms of a limit, (def 1).
Definition of derivative in terms of a limit, (def 2).
derivative of x^-2 with the definition of derivative.
definition of the derivative with square root (and conjugate).
sect 2.7 #13.
displacement & velocity.
sect 2.7 #15.
definition of derivative for a rational function.
Recognize limits as derivatives, (NO L'Hopital's Rule).
sect2.7 #37.
sect 2.7#38.
sect 2.7#39.
sect 2.7 #41.
Taught by
blackpenredpen
