Recall that Simpson's Diversity Index is one of many measures of biological diversity that captures that in an ecosys- tem with two species. The diversity index captures the probability the probability that two individuals drawn at ran- dom are different. H(p) = 2p(1 p) 0.5 0.4 0.3 0.2 0.1 0.0 B A 0.0 0 -A -B 0.0 0.2 0.2 0.4 0.4 0.6 0.6 p: prop. species 1. 0.8 0.8 1.0 1.0 dH (p) A) Sketch the derivative, dp A. 0 B. 2 C. 2p B) Take the derivative of H (p) using the derivative rules. Poll 1: What is 2p? Poll 2: What is 2p²? dp A. 2p B. 2p² C. 4p

Recall that Simpson's Diversity Index is one of many measures of biological diversity that captures that in an ecosys- tem with two species. The diversity index captures the probability the probability that two individuals drawn at ran- dom are different. H(p) = 2p(1 p) 0.5 0.4 0.3 0.2 0.1 0.0 B A 0.0 0 -A -B 0.0 0.2 0.2 0.4 0.4 0.6 0.6 p: prop. species 1. 0.8 0.8 1.0 1.0 dH (p) A) Sketch the derivative, dp A. 0 B. 2 C. 2p B) Take the derivative of H (p) using the derivative rules. Poll 1: What is 2p? Poll 2: What is 2p²? dp A. 2p B. 2p² C. 4p

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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