Given: In (sin² 3t) = e = arc cot (w) Find: dw dt O(1+w²) (6cot (36) e) [ Oet+w²et - 6tan (3t) - 6w² (cot(3t)) O (1+w²) (et + 6cot(3t)) O (et + 6 tan (31)) (w² + 1)
Given: In (sin² 3t) = e = arc cot (w) Find: dw dt O(1+w²) (6cot (36) e) [ Oet+w²et - 6tan (3t) - 6w² (cot(3t)) O (1+w²) (et + 6cot(3t)) O (et + 6 tan (31)) (w² + 1)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 31E
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Transcribed Image Text:Given: In(sin² 3t) = et + arc cot (w)
Find: du
dw
dt
O (1+w²) (6cot (3t) - e)
B
Oet+w²e6tan (3t) - 6w² (cot(3t))
O (1+w²) (e + 6cot (3t))
○ (e* + tan(31)) (w² + 1)
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