calc2_f17_e1_review.pdf

# calc2_f17_e1_review.pdf - MATH 2242(Dr Ngai Calculus II...

• Notes
• 2

This preview shows pages 1–2. Sign up to view the full content.

MATH 2242 (Dr. Ngai) Calculus II Fall 2017 Review for Exam 1 NOTE: The following is only an outline; it is not exhaustive. To thoroughly review for the exam, study materials from lectures, do all practice and homework problems, and study all quiz problems, and related past exam problems. 7.1 (a) One-to-one functions and the Horizontal Line Test (HLT) . Note that we learnt three methods to determine whether a function is one-to-one on an interval I : 1) apply the Horizontal Line Test (HLT) on I ; 2) show that f ( a ) = f ( b ) implies a = b on I ; 3) show that the function is strictly increasing or strictly decreasing on I , (which hold if f 0 ( x ) > 0 or f 0 ( x ) < 0 on I , respectively). (b) Definition of inverse functions. Compositions of inverse functions (i.e., Cancela- tion Equations). (c) Know how to find the inverse of a function. (d) Graphs of inverse functions are symmetric with respect to the line y =?. (e) Know how to find the derivative of the inverse of a function by using the formula ( f - 1 ) 0 ( x ) = 1 f 0 ( f - 1 ( x )) .

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.
• Fall '08
• Staff

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern