Find the second derivative of the function. 1+20 (2-0) 20 O d2r de? O d2r 2 1 de? e3 O d2r de? 1 O d2r %3D de2

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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**Problem:**

Find the second derivative of the function:

\[ r = \left(\frac{1 + 2\theta}{2\theta}\right)(2 - \theta) \]

**Options:**

1. \(\frac{d^2r}{d\theta^2} = \frac{2}{\theta^3}\)

2. \(\frac{d^2r}{d\theta^2} = -\frac{2}{\theta^3} - 1\)

3. \(\frac{d^2r}{d\theta^2} = -\frac{1}{\theta^2} - 1\)

4. \(\frac{d^2r}{d\theta^2} = \frac{1}{\theta} - \theta\)
Transcribed Image Text:**Problem:** Find the second derivative of the function: \[ r = \left(\frac{1 + 2\theta}{2\theta}\right)(2 - \theta) \] **Options:** 1. \(\frac{d^2r}{d\theta^2} = \frac{2}{\theta^3}\) 2. \(\frac{d^2r}{d\theta^2} = -\frac{2}{\theta^3} - 1\) 3. \(\frac{d^2r}{d\theta^2} = -\frac{1}{\theta^2} - 1\) 4. \(\frac{d^2r}{d\theta^2} = \frac{1}{\theta} - \theta\)
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