EULER µS THEOREM A function homogeneous of some degree has a property sometimes used in economic theory that was first discovered by Leonhard Euler (1707-1783). Proposition…

1. Warm up A. Find the average rate of change on [1, 2] of the function: f (x) = x3 - 2x B. Find the instantaneous rate of change when x = 2 of the same function. 2. The…

A LITTLE BIT OF CALCULUS by S. VADAKKAN For we are in God’s hands . . . our understanding and technical knowledge. Wisdom VII : 16 I have held many things in my hands,…

1. MATHEMATICALMODELLING 2.  Mathematical modeling is an attempt to study somepart of some real life problems in mathematicalterms. ie; the conversion of a physical situation…

UNIT 1 Structure 1.1 1.2 1.3 1.4 1.5 1.6 1.7 HIGHER ORDER DERIVATIVES Introduction Objectives Second and Third Order Derivatives nth Order Derivatives Leibniz Theorem Taylors…

Slide 13.7 Implicit Differentiation Implicitly Defined Functions –How do we find the slope when we cannot conveniently solve the equation to find the functions? Treat y…

Slide 14.6 Related Rates Any equation involving two or more variables that are differentiable functions of time t can be used to find an equation that relates their corresponding…

Slide 1Hidden Markov Models for Information Extraction Recent Results and Current Projects Joseph Smarr & Huy Nguyen Advisor: Chris Manning Slide 2 HMM Approach to IE…

Slide 1 Slide 2 Linear Approximation and Differentials Lesson 3.9 Slide 3 Tangent Line Approximation Consider a tangent to a function at a point where x = a Close to the…

Slide 1Section 2.3 – Product and Quotient Rules and Higher- Order Derivatives Slide 2 The Product Rule The derivative of a product of functions is NOT the product of the…