'Higher order derivatives' diaporamas de présentation

3.1 Derivative of a Function

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In this chapter, we begin our study of differential calculus.

In this chapter, we begin our study of differential calculus. This is concerned with how one quantity changes in relation to the changes in another quantity. DERIVATIVES.

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SE301: Numerical Methods Topic 8 Ordinary Differential Equations (ODEs) Lecture 28-36

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The Number of Ways of Expressing t as a Binomial Coefficient

The Number of Ways of Expressing t as a Binomial Coefficient By Daniel Kane January 7, 2007 An Interesting Note: 10 is both a triangular number and a tetrahedral number. Why does this hold? Is it equal to any other binomial coefficient? Trying to produce solutions of the form

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Introduction to Symmetry Analysis

Introduction to Symmetry Analysis. Chapter 8 - Ordinary Differential Equations. Brian Cantwell Department of Aeronautics and Astronautics Stanford University. 8.1 Extension of Lie Groups in the Plane. The Extended Transformation is a Group. Two transformations of the extended group.

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AP Calculus BC Wednesday , 06 November 2013

AP Calculus BC Wednesday , 06 November 2013. OBJECTIVE TSW (1) find the slope of a tangent line to a parametric curve, and (2) explore parametric vectors. Next Test : Wednesday, 13 November 2013 (next week). This test will cover parametric equations, polar equations, and vectors.

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15.Math-Review

15.Math-Review Tuesday 8/15/00 Convexity and Concavity Consider the function f(x)=x 2 over the interval [-1,1]. Is this function convex or concave? Prove it. Notation: for a function y = f(x), the derivative of f with respect to x can be written as: Differentiation The derivative

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The Second Derivative

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OUTLINE Motivation Fluctuation measures: <p T > fluctuation Multiplicity fluctuation Particle ratio, strangene

Event-by-event Fluctuation & Phase Transition. OUTLINE Motivation Fluctuation measures: <p T > fluctuation Multiplicity fluctuation Particle ratio, strangeness Balance functions Net charge fluctuation Moments of net charge DCC Long range correlations Near term activities

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The Second Derivative

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Introduction

Introduction. We will cover 4 topics today 1. Gradient of a Slope 2. Rates of Change 3. Important Derivatives 4. Higher Order Derivatives. The Gradient of a Slope. y. y. q. q. q. dy. p. p. dx. tangent. x. x.

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PRODUCT & QUOTIENT RULES & HIGHER-ORDER DERIVATIVES (2.3)

PRODUCT & QUOTIENT RULES & HIGHER-ORDER DERIVATIVES (2.3). September 25th, 2017. I. THE PRODUCT RULE.

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Implicit Differentiation

Implicit Differentiation. The functions that we have met so far can be described by expressing one variable explicitly in terms of another variable. For example, , or y = x sin x , or in general y = f ( x ). However, some functions are defined implicitly.

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Parametric Derivatives

Parametric Derivatives. Section 10-3-a. The Parametric form of a Derivative : If a smooth curve C is given by the equations Then the slope of C at (x, y) is . Derivatives of Parametric Equations. Horizontal: Vertical: . Tangents.

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3.7 Implicit Differentiation

3.7 Implicit Differentiation. Niagara Falls, NY & Canada. Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. F4. F3. 2. On the sending unit, press , and then . . 2nd. VAR-LINK. 2nd.

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3.7 Implicit Differentiation

3.7 Implicit Differentiation. Niagara Falls, NY & Canada. Photo by Vickie Kelly, 2003. Greg Kelly, Hanford High School, Richland, Washington. F4. F3. 2. On the sending unit, press , and then . . 2nd. VAR-LINK. 2nd.

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2.3 The product rule, quotient rule, and higher order derivatives

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Plane Curves and Parametric Equations

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Properties of Bezier Curves

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Higher Order Derivatives

Higher Order Derivatives. Find if . Substitute back into the equation. Higher Order Derivatives. Examples:. Find the 2 nd derivative of : y =

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