Question Detail

MTH 102 Differentiation Objective Question

Question

What is \( f'(x) \) for \( f(x) = \ln(\sin^2 x) \)?
Options
A \( 2 \cot x \)
Correct Answer
B \( \cot x \)
C \( 2 / \sin x \)
D \( 2 \tan x \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

( f(x) = 2\ln(\sin x) ). Differentiating gives ( 2(\cos x / \sin x) = 2 \cot x ).

Hint

Apply logarithm properties to simplify before differentiating.

Question Info