MATH116 Lecture Notes - Lecture 3: Inverse Trigonometric Functions, Minute And Second Of Arc, Chain Rule
9 Dec 2015
School
Department
Course
Professor
Document Summary
Wednesday, october 14 lecture 15 : derivatives of the inverse of functions. (refers to section 3. 10 in your text) Students who have mastered the content of this lecture know about: The inverse of the trig functions, the derivative of arcsin x, arcos x, arctan x. We discussed the first three inverse trig functions earlier. We restate their definitions here along with the other three inverse trig functions as follows: Note that different authors may define the intervals for y differently. We will use the above definitions in this course. It is not essential for students to memorize these. It is useful to remember where to find them if you need them in the future. 15. 2 the derivative of the inverse functions consider the inverse function y = arcsin(x). We can determine the derivative of this function by invoking the chain rule. We proceed as follows (where y is in ( /2, /2) :
