Antiderivatives Study guides, Study notes & Summaries

Section 17 - Antiderivatives and Indefinite Integrals- Calc 143- MAT143

Antiderivatives (Indefinite Integrals) solved questions

This document is high level overview of topics such as EVT, First Derivative Test, Antiderivative rules, and Concavity with examples.

Summary based on coursework in the Engineering Maths 115 course at Stellenbosch University. Used for Tutoring Purposes on Teachme2.

Examples of antiderivatives to look over

Before we introduce double integration, let us recall the fact that for functions of a single variable, integration is the reverse process of differentiation. Also see examples below. Functions of a Single Real Variable Functions of Two Real Variables Functions of Two Real Variables differentiation. 6) where ≠ −1 . 7) One of the antiderivatives of Thus we have . 8) The general form of antiderivativ denoted by where

Comprehensive Class notes on the fundamental theorem of calculus antiderivatives/integration with examples Based on CLP 2 textbook

extreme value theorem - Correct Answer if f(x) is continuous on [a,b] then f(x) contains an absolute max and absolute min on [a,b] Fermat's theorem - Correct Answer if f(x) is differentiable on (a,b) and has a local max or min at c within (a,b), then f'(c) = 0 critical points - Correct Answer for f(x), point a at which either f'(a) = 0 or f is not differentiable at a (closed intervals include endpoints) mean value theorem - Correct Answer if f(x) is continuous on [a,b] and differenti...

Essential Calculus 2nd Edition 2297 0875 0, 3, 4, 0, 2467, 3011, 9067, 6609 1: Functions and Limits 1.1: Functions and Their Representations 1.2: A Catalog of Essential Functions 1.3: The Limit of a Function 1.4: Calculating Limits 1.5: Continuity 1.6: Limits Involving Infinity 2: Derivatives 2.1: Derivatives and Rates of Change 2.2: The Derivative as a Function 2.3: Basic Differentiation Formulas 2.4: The Product and Quotient Rules 2.5: The Chain ...