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y = In(cot x). Find O A. cot x 1 O B.- sin x cosx |C. - csc². CSC OD. cotx O E. sin x cos x

y = In(cot x). Find O A. cot x 1 O B.- sin x cosx |C. - csc². CSC OD. cotx O E. sin x cos x

Calculus: Early Transcendentals
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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The image displays a calculus problem along with multiple-choice options. The given function is \( y = \ln(\cot x) \). The task is to find the derivative \(\frac{dy}{dx}\). Options provided are: - A. \(\cot x\) - B. \(-\frac{1}{\sin x \cos x}\) - C. \(-\csc^2 x\) - D. \(\frac{1}{\cot x}\) - E. \(\sin x \cos x\) Option C \(-\csc^2 x\) is marked as the correct answer.
Transcribed Image Text:The image displays a calculus problem along with multiple-choice options. The given function is \( y = \ln(\cot x) \). The task is to find the derivative \(\frac{dy}{dx}\). Options provided are: - A. \(\cot x\) - B. \(-\frac{1}{\sin x \cos x}\) - C. \(-\csc^2 x\) - D. \(\frac{1}{\cot x}\) - E. \(\sin x \cos x\) Option C \(-\csc^2 x\) is marked as the correct answer.
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