Day 6 – Tangent Lines and Derivatives

Slides:

Advertisements

Similar presentations

AP Calculus BC September 2, 2015 Day 3 - §1.4 Continuity and One-Sided Limits.

Advertisements

Chapter : Derivatives Section 3.7: Implicit Differentiation

3.3 Rules for Differentiation. What you’ll learn about Positive Integer Powers, Multiples, Sums and Differences Products and Quotients Negative Integer.

Chapter 3: Derivatives Section 3.3: Rules for Differentiation

MAT 125 – Applied Calculus 3.2 – The Product and Quotient Rules.

AP Calculus BC September 9, 2015 Day 7 – The Chain Rule and Implicit Differentiation.

AP Calculus BC Monday, 14 September 2015 OBJECTIVE TSW (1) define the slope of a curve at a point, and (2) define the derivative. Tests are graded. TODAY’S.

Section 6.1 Polynomial Derivatives, Product Rule, Quotient Rule.

Warm Up. Turn in chain rule HW Implicit Differentiation – 4.2.

11/10/2015 Perkins AP Calculus AB Day 1 Section 2.1.

In this section, we will consider the derivative function rather than just at a point. We also begin looking at some of the basic derivative rules.

AP CALCULUS 1009 : Product and Quotient Rules. PRODUCT RULE FOR DERIVATIVES Product Rule: (In Words) ________________________________________________.

AP Calculus BC Wednesday, 30 September 2015 OBJECTIVE TSW review for Friday’s test covering differentiation. ASSIGNMENTS DUE FRIDAY –WS Implicit Differentiation.

Math 1411 Chapter 2: Differentiation 2.3 Product and Quotient Rules and Higher-Order Derivatives.

Calculus Chapter 2 SECTION 2: THE DERIVATIVE AND THE TANGENT LINE PROBLEM 1.

AP CALCULUS 1008 : Product and Quotient Rules. PRODUCT RULE FOR DERIVATIVES Product Rule: (In Words) ________________________________________________.

DIFFERENCE QUOTIENT, DERIVATIVE RULES, AND TANGENT LINES RIZZI – CALC BC.

AP Calculus 3.2 Basic Differentiation Rules Objective: Know and apply the basic rules of differentiation Constant Rule Power Rule Sum and Difference Rule.

§ 4.2 The Exponential Function e x.

Chapter 3 Derivatives.

2.3 Geometrical Application of Calculus

Rules for Differentiation

Product and Quotient Rules

AP Calculus BC September 12, 2016.

Section 14.2 Computing Partial Derivatives Algebraically

Table of Contents 9. Section 3.1 Definition of Derivative.

Calculus Section 3.6 Use the Chain Rule to differentiate functions

Section 2.3 Day 1 Product & Quotient Rules & Higher order Derivatives

AP Calculus Honors Ms. Olifer

Chapter 3 Derivatives.

Unit 6 – Fundamentals of Calculus Section 6

Chain Rule AP Calculus.

AP Calculus BC September 22, 2016.

AP Calculus BC September 23, 2016.

AP Calculus BC October 10, 2016.

Polar Area Day 2 Section 10.5A Calculus BC AP/Dual, Revised ©2018

AP Calculus BC October 11, 2016.

Indeterminate Forms and L’Hopital’s Rule

Entry Task Consider the function f(x):

Continuity and One-Sided Limits

AP Calculus Honors Ms. Olifer

Unit 3 Lesson 5: Implicit Differentiation

AP Calculus BC September 29, 2016.

AP Calculus BC September 30, 2016.

Derivatives of Natural Log Functions

Section 5.3 Definite Integrals and Antiderivatives

AP Calculus BC September 28, 2016.

Evaluating Limits Analytically

Section 4.5A Calculus AP/Dual, Revised ©2019

Natural Base Integration

Section 2.3 Calculus AP/Dual, Revised ©2017

Section 2.3 Day 1 Product & Quotient Rules & Higher order Derivatives

Taylor Polynomials – Day 2

Section 4.2A Calculus AP/Dual, Revised ©2018

Second Fundamental Theorem of Calculus Day 2

Section 8.2 Calculus BC AP/Dual, Revised ©2019

Limits, continuity, and differentiability computing derivatives

Day 1 Welcome Back to School! AP Calculus BC Mr. Chopyak.

PRODUCT AND QUOTIENT RULES AND HIGHER-ORDER DERIVATIVES

Inverse Trig Functions

Section 3.7 Implicit Differentiation

The Fundamental Theorem of Calculus

Definite Integrals & Antiderivatives

Section 2.1 Day 2 Derivatives

Calculus BC AP/Dual, Revised © : Hyperbolic Functions

Implicit Differentiation

The Chain Rule Section 3.6b.

Section 2.5 Day 1 AP Calculus.

Section 6.3 Day 1 Separation of Variable

PRODUCT AND QUOTIENT RULES AND HIGHER-ORDER DERIVATIVES

Presentation transcript:

Day 6 – Tangent Lines and Derivatives AP Calculus BC September 9, 2015

Entry Task

Review Assignment #5 Discuss the assignment with your table partners. What questions do you have? Did you solve the problems differently? When you are done, turn in the assignment.

Learning Targets I can determine the derivative of functions using the limit definition and basic differentiation rules. I understand the connection between differentiability and continuity. I correctly solved problems involving the derivative of functions. I explained the connection between differentiability and continuity.

Tangent Lines and Differentiation §2.1 The Tangent Line Problem §2.2 Basic Differentiation Rules and Rates of Change §2.3 Product and Quotient Rules and Higher-Order Derivatives Problems to Work Section 2.1 (19, 31, 37, 39-42, 97, 101-104) Section 2.2 (24, 54, 65, 95, 100, 117) Section 2.3 (35, 53, 73, 81, 111-112, 120)

Assignment #6 Due September 9 Section 2.1 (19, 31, 37, 39-42, 97, 101-104) Section 2.2 (24, 54, 65, 95, 100, 117) Section 2.3 (35, 53, 73, 81, 111-112, 120)