Question What is the first derivative of s(x) = (6²)5? Select the correct answer below: O s'(x) = 652 (6ln 5) O s'(x) = 5(6¹) 4 O s'(x) = 652 (5ln 6) O s'(x) = 5(65x) O s'(x) = (5x)65x-1 FEEDBACK

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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**Question**

What is the first derivative of \( s(x) = (6^x)^5 \)?

Select the correct answer below:

- \( s'(x) = 6^{5x}(6 \ln 5) \)
- \( s'(x) = 5(6^x)^4 \)
- \( s'(x) = 6^{5x}(5 \ln 6) \)
- \( s'(x) = 5(6^{5x}) \)
- \( s'(x) = (5x)6^{5x-1} \)

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Transcribed Image Text:**Question** What is the first derivative of \( s(x) = (6^x)^5 \)? Select the correct answer below: - \( s'(x) = 6^{5x}(6 \ln 5) \) - \( s'(x) = 5(6^x)^4 \) - \( s'(x) = 6^{5x}(5 \ln 6) \) - \( s'(x) = 5(6^{5x}) \) - \( s'(x) = (5x)6^{5x-1} \) **Options:** 1. Feedback 2. More Instruction **Submit Button**
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