Question Detail

MTH 102 Differentiation Objective Question
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Question

Find the derivative of \( y = \tan(2x) \).
Options
A \( \sec^2(2x) \)
B \( 2\sec^2(2x) \)
Correct Answer
C \( 2\tan(x) \)
D \( \sec(2x) \tan(2x) \)
Correct Answer

Option B is the correct answer.

Detailed Explanation

Chain rule: derivative of ( \tan u ) is ( \sec^2 u \cdot u' ). Here ( u=2x ).

Hint

Apply the chain rule to the tangent function.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 133 of 930
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