Warm up 8/24 Warm up 1. Do in notebook Estimate the instantaneous rate of change at x = 3 for the function by picking values close to 3.

Slides:

Advertisements

Similar presentations

Learning Log # HW Chapter 2 Limits & Derivatives Yeah! We begin Calculus.

Advertisements

Miss Battaglia AB Calculus. Given a point, P, we want to define and calculate the slope of the line tangent to the graph at P. Definition of Tangent Line.

Derivatives - Equation of the Tangent Line Now that we can find the slope of the tangent line of a function at a given point, we need to find the equation.

1.4 – Differentiation Using Limits of Difference Quotients

Chapter 3 The Derivative Definition, Interpretations, and Rules.

CHAPTER Continuity Derivatives Definition The derivative of a function f at a number a denoted by f’(a), is f’(a) = lim h  0 ( f(a + h) – f(a))

Chapter 1 Limits and Their Properties Unit Outcomes – At the end of this unit you will be able to: Understand what calculus is and how it differs from.

Warm up Warm up 5/16 1. Do in notebook Evaluate the limit numerically(table) and graphically.

Be seated before the bell rings DESK All bags, purse, etc off desk homework Be prepare : Have these things out Warm-up (in your notes) Glue in learning.

SECTION 3.1 The Derivative and the Tangent Line Problem.

Notebook Table of content Page 1 Learning Target 1 1)1-1 A Preview of Calculus 2) 1-2 Finding limits graphically and numerically 3) 1-3 Evaluating limits.

Warm up Identify the property of addition demonstrated by each equation

Warm up 8/19 Warm up 1. 5x – 2 when x = – t 2 when 3. when x = Evaluate. 2. 3x 2 + 4x – 1 when x = 5.

The Derivative Definition, Interpretations, and Rules.

AIM : What are some properties of limits (Limit Laws)? Do Now: Find f(x), the limit of x from the left, right, and the entire limit for: 1. x  x.

Group Warm-up 8/28 Cut the dominos. (Darker lines). Start from where it say start. Connects the dominos to finish.

Warm up 1. Be ready to explain the problem to the class Work individual on the problem in your group in your notes. 1)Explain 2)Write down 3)Speakers 4)Speakers.

Warm-up 9/8 Graph.. Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda : warm-up go over test Notes lesson 2.5 Implicit.

Warm up 8/20 f(0) = 4; 1. f(1/2) = 6; f(-2)= f(2)= 3

1.6 – Tangent Lines and Slopes Slope of Secant Line Slope of Tangent Line Equation of Tangent Line Equation of Normal Line Slope of Tangent =

Warm up 1. Do in notebook. Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda : warm-up Go over homework homework quiz Notes.

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

Lesson 2-8 Introduction to Derivatives. 2-7 Review Problem For a particle whose position at time t is f(t) = 6t 2 - 4t +1 ft.: b. Find the instantaneous.

Chapter 3: Derivatives 3.1 Derivatives and Rate of Change.

GOAL: USE DEFINITION OF DERIVATIVE TO FIND SLOPE, RATE OF CHANGE, INSTANTANEOUS VELOCITY AT A POINT. 3.1 Definition of Derivative.

Math 1304 Calculus I 2.7 – Derivatives, Tangents, and Rates.

Warm up 8/26 Warm up 1. Do in notebook True or False, if false explain why or give example 1. If, then 2. If, then 3. If, then 4. If, then.

Powerpoint Templates Page 1 Powerpoint Templates Review Calculus.

Warm-up 8/31. Finding the derivative and calculating the derivative at a value.

Warm up 8/25 Warm up 1. Do in notebook Expand the binomials.

Where s is in feet and t is in seconds. When will Bugs hit the ground?

Warm up 9/28. Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda: Warmup Notes 6.3 Go over ch 3 test if time.

Warm up 9/09 Solve 1. x 2 + 9x + 20 = 0 2. x 2 - 7x = - 12 Turn and Talk What were the different strategies you used to solve each problems? Is completing.

Warm Up 10/13 Simplify each expression. 16, (3 2 )

Warm up 9/08 1. Factor 2. Solve by Factor. Be seated before the bell rings DESK homework Warm-up (in your notes) Ch 5 test tues 9/15 Agenda: Warmup Go.

More with Rules for Differentiation Warm-Up: Find the derivative of f(x) = 3x 2 – 4x 4 +1.

Warm Up Determine a) ∞ b) 0 c) ½ d) 3/10 e) – Rates of Change and Tangent Lines.

Warmup. Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda : go over hw Hw quiz Notes lesson 3.2.

***Welcome Back*** Looking forward to an exiting and successful year! You will be sited in alphabetical order. A list with your names and a number in front.

Warm up 10/16 (glue in). Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda : go over hw Finish Notes lesson 4.5 Start 4.6.

Warmup 9/18 Use 1 st derivative test to determine maximum and minimums.

A car is moving along Highway 50 according to the given equation, where x meters is the directed distance of the car from a given point P at t hours. Find.

Warm up 9/23 Solve the systems of equations by elimination.

Derivative Notation and Velocity. Notation for the Derivative.

Warm up 8/19 Warm up 1. Do in notebook Explain why these are incorrect :

Business Calculus Derivative Definition. 1.4 The Derivative The mathematical name of the formula is the derivative of f with respect to x. This is the.

Warm Ups. AP Calculus 3.1 Tangent Line Problem Objective: Use the definition to find the slope of a tangent line.

2.1 Rates of Change and Tangent Lines Devil’s Tower, Wyoming Greg Kelly, Hanford High School, Richland, WashingtonPhoto by Vickie Kelly, 1993.

Warmup 9/17 Mr. Xiong’s car passes a stationary patrol cars at 65 mph. He passes another patrol car 8 min later going 55 mph. He was immediately stop and.

Warm Ups. AP CALCULUS 2.4 Continuity Obj: identify the types of discontinuity.

Theorems Lisa Brady Mrs. Pellissier Calculus AP 28 November 2008.

Warm up 10/15. Review: 1)Explain what is the FTC # 2. 2)Explain how to do each of these three problems a) b)C)

1. Definition of Derivative

2-1: The Derivative Objectives: Explore the tangent line problem

Warm Up a) What is the average rate of change from x = -2 to x = 2? b) What is the average rate of change over the interval [1, 4]? c) Approximate y’(2).

Warm up Warm up 1. Do in notebook

Arrival Activity: Put the answers to the following question in your notes. Use complete sentences so that you know what your answers mean when you review.

Tangent Lines & Rates of Change

Derivatives by Definition

Tangent Lines and Derivatives

Average Rate vs. Instantaneous Rate

AP Calculus November 9-10, 2016 Mrs. Agnew

2.7/2.8 Tangent Lines & Derivatives

(a) long division (b)synthetic division

30 – Instantaneous Rate of Change No Calculator

3.1 Derivatives.

Warm-up Enter the two functions into the y = in your

Writing Rules for Linear Functions Pages

2-1: The Derivative Objectives: Explore the tangent line problem

Presentation transcript:

Warm up 8/24 Warm up 1. Do in notebook Estimate the instantaneous rate of change at x = 3 for the function by picking values close to 3.

Be seated before the bell rings DESK homework Warm-up (in your notes) Agenda : warm-up Go over test Notes lesson 2.1

Notebook Table of content Page 1 Learning Target 1 1)1-1 A Preview of Calculus 2) 1-2 Finding limits graphically and numerically 3) 1-3 Evaluating limits analytically 4) 1-4 Continuity 5) 1-5 & 3.5 6) 2.1 The Derivative

SectionLearning Target I Know It !! Partially Get It Don’ t Get it LT1: 2.1 I can use the limit definition of the derivative. AP Calculus AB Learning Targets Chapter 2 part 1 HW: 2.1 p 103; 1,2,5,9,13,14,17,20,22,23,25,39-42,45,46,49- 52

2.1 The Derivative the slope at 1 pt Average rate of change (ROC) Instantaneous ROC ab f(b) f(a) c Slope at instant

c Find slope at c. X f(X) f(c)

(Find the slope of f(x) at x = 3)

x f(x) - f(x)

Notations: Tangent Lines 2

Find equation of tangent line at x = -1