ex If E(x) = x²e⁹ + In(π) O ee-1 + eº(ln(π) +e™) e²−1 + eº(ln(π) + eª) + ee−¹ e²+¹ + e²(1/ ln(π) + eª) + e²-1 e²e + e² (1/ln(π) + е¹) None of the above + eπe + ee find E' (e)

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 Statement

Given the function:
\[ E(x) = x^{e^e} + \frac{e^x}{\ln(\pi)} + e^{\pi e^x} + e^e \]

Find \( E'(e) \).

### Options

1. \( e^{e-1} + e^e (\ln(\pi) + e^{\pi}) \)
2. \( e^{e-1} + e^e (\ln(\pi) + e^{\pi}) + e^{e-1} \)
3. \( e^{e+1} + e^e (1/\ln(\pi) + e^{\pi}) + e^{e-1} \)
4. \( e^{2e} + e^e (1/\ln(\pi) + e^{\pi}) \)
5. None of the above
Transcribed Image Text:### Problem Statement Given the function: \[ E(x) = x^{e^e} + \frac{e^x}{\ln(\pi)} + e^{\pi e^x} + e^e \] Find \( E'(e) \). ### Options 1. \( e^{e-1} + e^e (\ln(\pi) + e^{\pi}) \) 2. \( e^{e-1} + e^e (\ln(\pi) + e^{\pi}) + e^{e-1} \) 3. \( e^{e+1} + e^e (1/\ln(\pi) + e^{\pi}) + e^{e-1} \) 4. \( e^{2e} + e^e (1/\ln(\pi) + e^{\pi}) \) 5. None of the above
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