Question Detail

MTH 102 Differentiation Objective Question
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Question

Find \( dy/dx \) if \( y = \ln(\sin x) \).
Options
A \( \cot x \)
Correct Answer
B \( \tan x \)
C \( \cos x / \sin x \text{ (same as A)} \)
D \( -\cot x \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Chain rule: ( 1/\sin x \cdot \cos x = \cot x ).

Hint

Take the derivative of the sine function and divide it by the sine function.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 139 of 930
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