Find the derivative of h (x) = csc¹ (x) Oh' (x) = -4 csc¹ (x) cot(x) ○ h' (x) = 4 csc¹ (x) cot² (x) ○ h' (x) = 4 cscª (x) cot(x) ○ h' (x) − 4 csc³ (x) cot(x)

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 task is to find the derivative of \( h(x) = \csc^4(x) \).

There are four answer choices provided:

1. \( h'(x) = -4 \csc^4(x) \cot(x) \)

2. \( h'(x) = 4 \csc^4(x) \cot^2(x) \)

3. \( h'(x) = 4 \csc^4(x) \cot(x) \)

4. \( h'(x) = 4 \csc^3(x) \cot(x) \)

You are asked to select the correct derivative from the given options.
Transcribed Image Text:The task is to find the derivative of \( h(x) = \csc^4(x) \). There are four answer choices provided: 1. \( h'(x) = -4 \csc^4(x) \cot(x) \) 2. \( h'(x) = 4 \csc^4(x) \cot^2(x) \) 3. \( h'(x) = 4 \csc^4(x) \cot(x) \) 4. \( h'(x) = 4 \csc^3(x) \cot(x) \) You are asked to select the correct derivative from the given options.
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