Differentiability Study guides, Class notes & Summaries

Typed and summarized IEB AP Math notes - does not include statistics notes. Includes worked examples and important concepts to note. Received a distinction in AP Maths at the end of Grade 11 due to the basis of these notes. Content includes: Complex Number Theory, Mathematical Induction, Radian Measure, Quadratic equations, Cubic Polynomials and equations, Partial fractions, Absolute Values (and graphing), Rational inequalities, Split and Composite functions, Continuity and Differentiability...

This document is about finding the slope of the tangent line to a curve at a point, using the limit definition to find the derivative of a function, and understanding the relationship between differentiability and continuity.

Summary of Continuity and Differentiability is accompanied by examples of questions with short answers, long answers and exercises.

Day AB C Date Topic / Activity Assignment * 1 B Thurs, July 30 Course Description Handout Distribute Books/TI-Nspire Calculators Introduction to Navigator Finish Topic U from Summer Packet Class Procedures (Homework) What Is Calculus? (Informative) 2 C Fri, July 31 1.2A (Day 1) – Finding Limits: Graphically  One-Sided Limits  Limits at Infinity Limits Enrichment (Enrichment) Worksheet HW 1.2A: “Graphical Approach to Limits” 1-18 all Textbook HW 1.2A: p. 54: 2,...

AP Calculus BC AP TEST Study Guide Formal definition of Continuity Intermediate Value Theorem If f is continuous on [a,b] and k is a number between f(a) and f(b), then there exists at least one number c such that f(c)=k Definition of Derivative differentiability if a function has a definite derivative for each element of the domain

SMA 2101: CALCULUS I c Francis O. Ochieng Department of Pure and Applied Mathematics Jomo Kenyatta University of Agriculture and Technology Course content • Functions: definition, domain, range, codomain, composition (or composite), inverse. • Limits, continuity and differentiability of a function. • Differentiation by first principle and by rule for x n (integral and fractional n). • Other techniques of differentiation, i.e., sums, products, quotients, chain rule; their applic...

In-depth summary of lecture notes and important formulae.

SMA 2101: CALCULUS I c Francis O. Ochieng Department of Pure and Applied Mathematics Jomo Kenyatta University of Agriculture and Technology Course content • Functions: definition, domain, range, codomain, composition (or composite), inverse. • Limits, continuity and differentiability of a function. • Differentiation by first principle and by rule for x (integral and fractional n). • Other techniques of differentiation, i.e., sums, products, quotients, chain rule; their applicat...

The pdf contains multiple type questions on the topic CONTINUITY AND DIFFERENTIABILITY. The pdf contains the most important questions and covers all the topics in depth. Answers have been also given on the last page.

THIS PDF CONTAINS QUESTION BANK OF CLASS 12TH CHAPTER CONTINUITY AND DIFFERENTIABILITY ALONG WITH THE ANSWER KEY AT THE END