YoVDO

AP Calculus AB and BC - Differentiation: Definition and Basic Derivative Rules

Offered By: Krista King via YouTube

Tags

AP Calculus Courses Calculus Courses Differentiation Courses Product Rule Courses Quotient Rule Courses Power Rule Courses

Course Description

Overview

Dive into a comprehensive 37-minute video review of Unit 2 in AP Calculus AB and BC, focusing on Differentiation: Definition and Basic Derivative Rules. Explore key concepts including average and instantaneous rates of change, defining derivatives, estimating derivatives at a point, and the connection between differentiability and continuity. Learn essential derivative rules such as the power rule, constant rule, sum and difference rules, and derivatives of common functions. Master the product and quotient rules, and understand how to find derivatives of trigonometric functions. Gain a solid foundation in calculus concepts with clear explanations and examples provided by math educator Krista King.

Syllabus

- Introduction.
- 2.1 Defining Average and Instantaneous Rates of Change at a Point.
- 2.2 Defining the Derivative of a Function and Using Derivative Notation.
- 2.3 Estimating Derivatives of a Function at a Point.
- 2.4 Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist.
- 2.5 Applying the Power Rule.
- 2.6 Derivative Rules: Constant, Sum, Difference, and Constant Multiple.
- 2.7 Derivatives of cosx, sinx, ex, and lnx.
- 2.8 The Product Rule.
- 2.9 The Quotient Rule.
- 2.10 Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions.
- Summary.


Taught by

Krista King

Related Courses

Life Cycle Assessment: A Practical Introduction
Deakin University via FutureLearn
Mastering Derivatives: A Complete Calculus Course
Udemy
A Levels P3 Differentiation
zainematics via YouTube
An Algebraic Infinitesimal Approach to Product and Chain Rules - N J Wildberger
Insights into Mathematics via YouTube
APEX Calculus - Derivatives
Sean Fitzpatrick via YouTube