Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

d/dx[(log_e(2x-1))⁴] equals
Options
A 2/(2x-1)·(log_e(2x-1))³
B 8/(2x-1)·(log_e(2x-1))³
Correct Answer
C 2(log_e(2x-1))³
D 4/(2x-1)·(log_e(2x-1))³
Correct Answer

Option B is the correct answer.

Detailed Explanation

By the chain rule: 4(log_e(2x-1))³ · [2/(2x-1)] = 8/(2x-1)·(log_e(2x-1))³.

Hint

Treat this as (inner)^4 and apply the chain rule twice — once for the power, once for the log.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 916 of 930
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