dy Find dt y = cos (V6t + 12) 1 O A. 2/6t + 12 sin (V6t + 12) O B. - sin (6t + 12 3 sin V6t + 12 Oc. 3 OD. sin (V6t + 12) 6t + 12

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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Find \(\frac{dy}{dt}\)

\(y = \cos(\sqrt{6t + 12})\)

**Options:**

A. \(-\frac{1}{2\sqrt{6t + 12}} \sin(\sqrt{6t + 12})\)

B. \(-\sin(\sqrt{6t + 12})\)

C. \(-\sin\left(\frac{3}{\sqrt{6t + 12}}\right)\)

D. \(-\frac{3}{\sqrt{6t + 12}} \sin(\sqrt{6t + 12})\)
Transcribed Image Text:Find \(\frac{dy}{dt}\) \(y = \cos(\sqrt{6t + 12})\) **Options:** A. \(-\frac{1}{2\sqrt{6t + 12}} \sin(\sqrt{6t + 12})\) B. \(-\sin(\sqrt{6t + 12})\) C. \(-\sin\left(\frac{3}{\sqrt{6t + 12}}\right)\) D. \(-\frac{3}{\sqrt{6t + 12}} \sin(\sqrt{6t + 12})\)
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