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dy Find dx if y = sin (x) %3D O 1) -2cot(x)csc2(x) 2) 2cot2(x)csc(x) O 3) -2cot2(x)csc(x) O 4) 2cot(x)csc2 (x)

dy Find dx if y = sin (x) %3D O 1) -2cot(x)csc2(x) 2) 2cot2(x)csc(x) O 3) -2cot2(x)csc(x) O 4) 2cot(x)csc2 (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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**Problem:** Find \(\frac{dy}{dx}\) if \(y = \frac{1}{\sin^2(x)}\). **Options:** 1) \(-2\cot(x)\csc^2(x)\) 2) \(2\cot^2(x)\csc(x)\) 3) \(-2\cot^2(x)\csc(x)\) 4) \(2\cot(x)\csc^2(x)\) This is a calculus problem where you are asked to find the derivative of a given function \(y\) with respect to \(x\). The function involves trigonometric identities, specifically involving sine, cotangent, and cosecant. Select the correct option for the derivative from the choices provided.
Transcribed Image Text:**Problem:** Find \(\frac{dy}{dx}\) if \(y = \frac{1}{\sin^2(x)}\). **Options:** 1) \(-2\cot(x)\csc^2(x)\) 2) \(2\cot^2(x)\csc(x)\) 3) \(-2\cot^2(x)\csc(x)\) 4) \(2\cot(x)\csc^2(x)\) This is a calculus problem where you are asked to find the derivative of a given function \(y\) with respect to \(x\). The function involves trigonometric identities, specifically involving sine, cotangent, and cosecant. Select the correct option for the derivative from the choices provided.
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