Slide 1The Derivative in Graphing and Applications By: Tair Akhmejanov Slide 2 Section 5.1:Analysis of Functions Increasing Decreasing Concavity Inflection Points Slide 3…

Slide 1 Slide 2 This theorem allows calculations of area using anti-derivatives. What is The Fundamental Theorem of Calculus? Slide 3 There is a c between a and b so that…

Slide 1Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs OBJECTIVES Find relative extrema of a continuous function using the First-Derivative Test.…

Slide 1The Calculus of Parametric Equations As we have done, we will do again. Parametric curves have tangent lines, rates of change, area under and above, local and absolute…

1. 3.1 Extrema on an Interval 2. A lot of effort goes into determining the behavior of a functionfon an intervalI .Does it have a maximum in the interval?Where is it increasing,…

1. Relative Extrema First Derivative Test - FDT Second Derivative Test - SDT 2. Relative Extrema de cx1relative maximumre as ingxg sin a cre in 2relative minimumde cre asx3relative…

1. Relative Extrema First Derivative Test - FDT Second Derivative Test - SDT 2. Relative Extrema de cx1relative maximumre as ingxg sin a cre in 2relative minimumde cre asx3relative…

Slide 1 Slide 2 Jeopardy ! Logarithms Exponentials Inverse Functions Applications Holiday Headlines Slide 3 Slide 4 Slide 5 Slide 6 Find any relative extrema for of Slide…

Slide 1 Section 4.4 The Derivative in Graphing and Applications- “Absolute Maxima and Minima” Slide 2 All graphics are attributed to: Calculus,10/E by Howard Anton, Irl…

Slide 1 Copyright © 2008 Pearson Education, Inc. Chapter 5 Graphs and the Derivative Copyright © 2008 Pearson Education, Inc. Slide 2 Slide 5-2 Figure 1 Slide 3 Copyright…