Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

AP Calculus Unit 2 - Differentiation: Definition and Basic Derivative Rules

Math with Professor V via YouTube

Overview

Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
Master fundamental differentiation concepts through this comprehensive video playlist covering AP Calculus Unit 2 topics over nearly 4 hours of instruction. Learn to define derivatives both at specific points and as functions, while exploring their geometric interpretation as slopes of tangent lines and physical meaning as velocity. Develop proficiency with essential differentiation rules including power, product, quotient, and chain rules, then advance to finding higher-order derivatives. Study derivatives of trigonometric functions, inverse trigonometric functions, exponential functions, and logarithmic functions through detailed examples. Practice implicit differentiation techniques and solve related rates problems that commonly appear on AP exams. Analyze graphical relationships between functions and their first and second derivatives to understand concavity and inflection points. Build confidence for both multiple-choice and free-response sections of the AP Calculus AB/BC exam through step-by-step problem-solving demonstrations and targeted review sessions that align directly with College Board curriculum standards.

Syllabus

Calculus 1: Derivatives and Rates of Change (Video #7) | Math with Professor V
Calculus 1: The Derivative as a Function (Video #8) | Math with Professor V
Finding Slopes of Tangent Lines Using the Limit Definition of the Derivative | Calculus 1
Calculus 1: Differentiation Rules (Video #9) | Math with Professor V
Calculus 1: The Product and Quotient Rules (Video #10) | Math with Professor V
Calculus 1: Derivatives of Trigonometric Functions (Video #11) | Math with Professor V
Calculus 1: Derivatives of Logarithmic Functions (Video #14) | Math with Professor V
AP Calculus Unit 2 Review | Differentiation Basics, Rules & AP Exam Practice

Taught by

Math with Professor V

Reviews

Start your review of AP Calculus Unit 2 - Differentiation: Definition and Basic Derivative Rules

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.