Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image}

Jul 13, 2014

40 likes | 145 Views

1. 2. 3. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image}. {image} {image} {image}. 1. 2. 3. 4. Evaluate the integral. {image}. {image} {image} {image} {image}. 1. 2. 3.

Share Presentation

Embed Code

Link

use part
fundamental theorem
calculus

duante

Download Presentation

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image}

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

1. 2. 3. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image} • {image} • {image} • {image}
1. 2. 3. 4. Evaluate the integral. {image} • {image} • {image} • {image} • {image}
1. 2. 3. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image} • {image} • {image} • {image}
1. 2. 3. Find the interval on which the curve {image} is concave upward. • {image} • {image} • {image}

The Fundamental Theorem of Calculus (or, Why do we name the integral for someone who lived in the mid-19th century?)

The Fundamental Theorem of Calculus (or, Why do we name the integral for someone who lived in the mid-19th century?). David M. Bressoud Macalester College, St. Paul, Minnesota MAA MathFest, Providence, RI August 14, 2004. What is the Fundamental Theorem of Calculus?

852 views • 46 slides

Objectives

Objectives. By the end of this session you will have:considered the significance of analytical calculus in mathematics and its applications used calculus to describe features of polynomial and other functionssolved simple optimisation problemslooked at some mathematical models. Origins. Why was calculus invented?The derivativeContinuity and differentiabilityIndefinite and definite integralsThe fundamental theorem of calculus.

356 views • 8 slides

VECTOR CALCULUS

16. VECTOR CALCULUS. VECTOR CALCULUS. 16.3 Fundamental Theorem for Line Integrals. In this section, we will learn about: The Fundamental Theorem for line integrals and determining conservative vector fields. . FTC2. Equation 1 .

1.33k views • 89 slides

Calculus Grapher for Math

Calculus Grapher for Math . Learning Goals: Students will be able to: Given a function sketch the derivative or integral curves Explain what the effect of a discontinuity in a function has on the derivative and the integral curves

406 views • 22 slides

Math 1304 Calculus I

Math 1304 Calculus I. 2.8 – The Derivative. Definition of Derivative. Definition: The derivative of a function f at a number a, denoted by f’(a) is given by the formula. Definition of Derivative. Definition: The derivative of a function f the function whose formula is given by.

315 views • 13 slides

Fundamental theorem of calculus II

Integrals. Integrate. Area under the curve. Fundamental theorem of calculus I. Change of variables. Fundamental theorem of calculus II. Area under the curve. 0. Area under the curve. Verify that this sum makes sense. There are values of D x that break this picture. What are they?. 0.

390 views • 17 slides

Part Four

Part Four. Optimization. Motivation. Given a function f ( x ), find an x 0 where f ( x ) is the maximum or minimum. Noncomputer method: derive the exact formula of the first derivative f ’( x ) using calculus and then solve the equation f ’( x ) = 0.

191 views • 5 slides

Miss Battaglia AP Calculus AB/BC

3.4 Concavity and the Secondary Derivative Test Objective: Determine on intervals on which a function is concave up or down; find any points of inflection; apply the Second Derivative Test. Miss Battaglia AP Calculus AB/BC. Definition of Concavity.

377 views • 11 slides

Here’s the Graph of the Derivative …. Tell me About the Function

Here’s the Graph of the Derivative …. Tell me About the Function . Lin McMullin Calculus for AP* by Rogawski and Cannon Webinar February 15, 2012. AP Calculus Free-response Questions. Standard. Synthesis. Rate / Accumulation Particle Motion Table Stem Graph Stems

427 views • 28 slides

2.4 The Chain Rule Objective: Find the derivative of a composite function using the Chain Rule

2.4 The Chain Rule Objective: Find the derivative of a composite function using the Chain Rule. Ms. Battaglia AB/BC Calculus. The Chain Rule. The chain rule is used to compute the derivative of the composition of two or more functions. Theorem 2.10 The Chain Rule.

595 views • 19 slides

3.1 Definition of Derivative

3.1 Definition of Derivative. Goal: Use definition of derivative to find slope, rate of change, instantaneous velocity at a point. Definition:. The derivative of f(x) with respect to x is the function and is defined as, This is read “f prime of x”. Find the derivative:.

373 views • 13 slides

VECTOR CALCULUS

16. VECTOR CALCULUS. VECTOR CALCULUS. The main results of this chapter are all higher-dimensional versions of the Fundamental Theorem of Calculus (FTC). To help you remember them, we collect them here (without hypotheses) so that you can see more easily their essential similarity.

350 views • 9 slides

Section 5.4

Section 5.4. The Fundamental Theorem of Calculus. The Fundamental Theorem of Calculus. Basically, (definite) integration and differentiation are inverse operations. Example 1. Evaluate the definite integral. Verify your result with a graphing calculator. Example 2.

357 views • 18 slides

5.3 The Fundamental Theorem of Calculus

INTEGRALS. 5.3 The Fundamental Theorem of Calculus. In this section, we will learn about: The Fundamental Theorem of Calculus and its significance. FUNDAMENTAL THEOREM OF CALCULUS. The Fundamental Theorem of Calculus (FTC) is appropriately named.

1.2k views • 74 slides

Calculus and Derivatives

Calculus and Derivatives. Emily Halsmer. Derivative Rule Lesson. In the past, we have learned what the derivative means, and what the derivative of constants, scalars, sums, and differences are.

1.18k views • 37 slides

What You NEED To Know In Calculus

What You NEED To Know In Calculus. The Fundamental Theorem of Calculus. b. ∫. f (x)dx = F(b) – F(a). a. The fundamental theorem of calculus is used to evaluate definite integrals using antiderivatives.

381 views • 18 slides

Getting the Most Out of the Fundamental Theorem

Getting the Most Out of the Fundamental Theorem. Dan Kennedy Baylor School Chattanooga, TN dkennedy@baylorschool.org. One of the hardest calculus topics to teach in the old days was Riemann sums. They were hard to draw, hard to compute, and (many felt) totally unnecessary.

560 views • 44 slides

MAT 3751 Analysis II

MAT 3751 Analysis II. 5.6 Fundamental Theorem of Calculus. http://myhome.spu.edu/lauw. References. Bloch 5.6. HW. Individual HW due Monday Team homework due Tuesday. Theorem 5.6.2 (Fundamental Theorem of Calculus Part I). Comment. Recall. Theorem 5.6.2* FTCI. Analysis. Analysis.

444 views • 29 slides

Calculus Section 3.8 Apply I mplicit D ifferentiation

Calculus Section 3.8 Apply I mplicit D ifferentiation. Functions can be expressed either explicitly or implicitly. Explicit Function: y = 2x - 7. To differentiate implicitly, use the notation of a derivative. Find the derivative of y 3 – x 2 + xy = 3.

157 views • 4 slides

The Fundamental Theorem of Calculus (Part I)

The Fundamental Theorem of Calculus (Part I). The overall idea behind the Fundamental Theorem of Calculus is that differentiation. and integration. are operational opposites;. In the same way that multiplication. and division are. Graphical Proof. 2 Reminders. 1).

336 views • 20 slides

Calculus I (MAT 145) Dr. Day Wednesday Feb 27, 2013

Calculus I (MAT 145) Dr. Day Wednesday Feb 27, 2013. Return Gateway Derivatives Quiz #1 (#2 tomorrow!) Derivatives of Composite Functions: The Chain Rule (3.4) Assignments. Detecting Derivative Patterns. The Derivative of a Constant Function The Derivative of a Power Function

296 views • 15 slides

{image} {image} {image} {image}

1. 2. 3. 4. Use Stokes' Theorem to evaluate {image} {image} S is a part of the hemisphere {image} that lies inside the cylinder {image} oriented in the direction of the positive x - axis. {image} {image} {image} {image}.

387 views • 5 slides

More Related