Presentation is loading. Please wait.

Presentation is loading. Please wait.

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image} 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18.

Published byΧθόνια Λούλης Modified over 5 years ago

Similar presentations

Presentation on theme: "Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image} 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18."— Presentation transcript:

1 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image}
1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2 Evaluate the integral. {image}
156 -204 120 300 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image}
1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4 If {image} where {image} find F ''(2).
1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5 Let {image} and {image} Find an expression for g(x) when 8 < x < 16.
1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

6 Find a function f(x) such that {image} for x > 0 and some a.
1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Download ppt "Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image} 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18."

Similar presentations

6 Integration Antiderivatives and the Rules of Integration

6 Integration Antiderivatives and the Rules of Integration
Lesson 5.2 (PART 2) FUNCTION NOTATION.

Lesson 5.2 (PART 2) FUNCTION NOTATION.
Question from Test 1 Liquid drains into a tank at the rate 21e-3t units per minute. If the tank starts empty and can hold 6 units, at what time will it.

Question from Test 1 Liquid drains into a tank at the rate 21e-3t units per minute. If the tank starts empty and can hold 6 units, at what time will it.
5.c – The Fundamental Theorem of Calculus and Definite Integrals.

5.c – The Fundamental Theorem of Calculus and Definite Integrals.
Section 5.4a FUNDAMENTAL THEOREM OF CALCULUS. Deriving the Theorem Let Apply the definition of the derivative: Rule for Integrals!

Section 5.4a FUNDAMENTAL THEOREM OF CALCULUS. Deriving the Theorem Let Apply the definition of the derivative: Rule for Integrals!
Section 6.4 Second Fundamental Theorem of Calculus.

Section 6.4 Second Fundamental Theorem of Calculus.
The Fundamental Theorems of Calculus Lesson 5.4. First Fundamental Theorem of Calculus Given f is  continuous on interval [a, b]  F is any function.

The Fundamental Theorems of Calculus Lesson 5.4. First Fundamental Theorem of Calculus Given f is  continuous on interval [a, b]  F is any function.
6/3/2016 Perkins AP Calculus AB Day 10 Section 4.4.

6/3/2016 Perkins AP Calculus AB Day 10 Section 4.4.
4.4 The Fundamental Theorem of Calculus

4.4 The Fundamental Theorem of Calculus
Mathematics. Session Definite Integrals –1 Session Objectives  Fundamental Theorem of Integral Calculus  Evaluation of Definite Integrals by Substitution.

Mathematics. Session Definite Integrals –1 Session Objectives  Fundamental Theorem of Integral Calculus  Evaluation of Definite Integrals by Substitution.
CHAPTER 2 2.4 Continuity Fundamental Theorem of Calculus In this lecture you will learn the most important relation between derivatives and areas (definite.

CHAPTER Continuity Fundamental Theorem of Calculus In this lecture you will learn the most important relation between derivatives and areas (definite.
Section 3.3 The Product and Quotient Rule. Consider the function –What is its derivative? –What if we rewrite it as a product –Now what is the derivative?

Section 3.3 The Product and Quotient Rule. Consider the function –What is its derivative? –What if we rewrite it as a product –Now what is the derivative?
State Standard – 15.0b Students use the fundamental theorem of calculus to interpret integrals as antidervivatives. – 14.0 Students apply the definition.

State Standard – 15.0b Students use the fundamental theorem of calculus to interpret integrals as antidervivatives. – 14.0 Students apply the definition.
5.3 – The Fundamental Theorem of Calculus

5.3 – The Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus is appropriately named because it establishes connection between the two branches of calculus: differential calculus.

The Fundamental Theorem of Calculus is appropriately named because it establishes connection between the two branches of calculus: differential calculus.
The Fundamental Theorem of Calculus is appropriately named because it establishes connection between the two branches of calculus: differential calculus.

The Fundamental Theorem of Calculus is appropriately named because it establishes connection between the two branches of calculus: differential calculus.
5.4 The Fundamental Theorem of Calculus. I. The Fundamental Theorem of Calculus Part I. A.) If f is a continuous function on [a, b], then the function.

5.4 The Fundamental Theorem of Calculus. I. The Fundamental Theorem of Calculus Part I. A.) If f is a continuous function on [a, b], then the function.
Indefinite Integrals or Antiderivatives

Indefinite Integrals or Antiderivatives
Mean Value Theorem.

Mean Value Theorem.
4.4 The Fundamental Theorem of Calculus

4.4 The Fundamental Theorem of Calculus

Similar presentations

Ads by Google