Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

Find the first derivative of sec⁻¹(2x) with respect to x
Options
A 1/(2x√(4x²-1))
B 1/(x√(4x²-1))
Correct Answer
C 1/(x√(2x²-1))
D 1/(2x√(2x²-1))
Correct Answer

Option B is the correct answer.

Detailed Explanation

d/dx[sec⁻¹u]=1/(u√(u²-1))·u'. With u=2x, u'=2: (1/(2x√(4x²-1)))·2 = 1/(x√(4x²-1)).

Hint

Apply the chain rule to the standard derivative of sec⁻¹u with u=2x.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 915 of 930
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