Presentation is loading. Please wait.

Presentation is loading. Please wait.

Created by Jason L. Bradbury State Standard – 15.0b Students use the fundamental theorem of calculus to interpret integrals as antidervivatives. – 14.0.

Published byKatie Provins Modified over 10 years ago

Similar presentations

Presentation on theme: "Created by Jason L. Bradbury State Standard – 15.0b Students use the fundamental theorem of calculus to interpret integrals as antidervivatives. – 14.0."— Presentation transcript:

1 Created by Jason L. Bradbury State Standard – 15.0b Students use the fundamental theorem of calculus to interpret integrals as antidervivatives. – 14.0 Students apply the definition of the integral to model problems of physics, economics, and so forth obtaining results in terms of integrals. Objective – To be able to use the 2 nd derivative test to find concavity and points of inflection.

2 Example 1 Find the general solution fo the differential equation To begin, you need to find a function whose derivative is 2. Now we can apply the Theorem

3

4 Differentiation Formula Integration Formula

5

6

7

8

9

10

11

12

13 Here are some examples from the homework

14

15

Download ppt "Created by Jason L. Bradbury State Standard – 15.0b Students use the fundamental theorem of calculus to interpret integrals as antidervivatives. – 14.0."

Similar presentations

6.2 Antidifferentiation by Substitution

6.2 Antidifferentiation by Substitution
The Natural Logarithmic Function

The Natural Logarithmic Function
Unit 6 – Fundamentals of Calculus Section 6

Unit 6 – Fundamentals of Calculus Section 6
AP Calculus Section 3.4 Concavity and the Second Derivative Test

AP Calculus Section 3.4 Concavity and the Second Derivative Test
Business Calculus Improper Integrals, Differential Equations.

Business Calculus Improper Integrals, Differential Equations.
Objectives: 1.Be able to determine where a function is concave upward or concave downward with the use of calculus. 2.Be able to apply the second derivative.

Objectives: 1.Be able to determine where a function is concave upward or concave downward with the use of calculus. 2.Be able to apply the second derivative.
Ch 2.1: Linear Equations; Method of Integrating Factors

Ch 2.1: Linear Equations; Method of Integrating Factors
1Chapter 2. 2 Example 3Chapter 2 4 EXAMPLE 5Chapter 2.

1Chapter 2. 2 Example 3Chapter 2 4 EXAMPLE 5Chapter 2.
Section 4.3 Indefinite Integrals and Net Change Theorem Math 1231: Single-Variable Calculus.

Section 4.3 Indefinite Integrals and Net Change Theorem Math 1231: Single-Variable Calculus.
EXPONENTIAL FUNCTIONS: DIFFERENTIATION AND INTEGRATION Section 5.4.

EXPONENTIAL FUNCTIONS: DIFFERENTIATION AND INTEGRATION Section 5.4.
Calculus Chapter 5 Day 1 1. The Natural Logarithmic Function and Differentiation The Natural Logarithmic Function- The number e- The Derivative of the.

Calculus Chapter 5 Day 1 1. The Natural Logarithmic Function and Differentiation The Natural Logarithmic Function- The number e- The Derivative of the.
Section 4.3 Fundamental Theorem of Calculus Math 1231: Single-Variable Calculus.

Section 4.3 Fundamental Theorem of Calculus Math 1231: Single-Variable Calculus.
The Natural Logarithmic Function

The Natural Logarithmic Function
6.1 Antiderivatives and Slope Fields Objectives SWBAT: 1)construct antiderivatives using the fundamental theorem of calculus 2)solve initial value problems.

6.1 Antiderivatives and Slope Fields Objectives SWBAT: 1)construct antiderivatives using the fundamental theorem of calculus 2)solve initial value problems.
Section 5.3 – The Definite Integral

Section 5.3 – The Definite Integral
Section 5.3: Evaluating Definite Integrals Practice HW from Stewart Textbook (not to hand in) p. 374 # 1-27 odd, 31-43 odd.

Section 5.3: Evaluating Definite Integrals Practice HW from Stewart Textbook (not to hand in) p. 374 # 1-27 odd, odd.
5.c – The Fundamental Theorem of Calculus and Definite Integrals.

5.c – The Fundamental Theorem of Calculus and Definite Integrals.
4.4c 2nd Fundamental Theorem of Calculus. Second Fundamental Theorem: 1. Derivative of an integral.

4.4c 2nd Fundamental Theorem of Calculus. Second Fundamental Theorem: 1. Derivative of an integral.
Definition of the Natural Exponential Function

Definition of the Natural Exponential Function
5.4 Fundamental Theorem of Calculus. It is difficult to overestimate the power of the equation: It says that every continuous function f is the derivative.

5.4 Fundamental Theorem of Calculus. It is difficult to overestimate the power of the equation: It says that every continuous function f is the derivative.

Similar presentations

Ads by Google