Question Detail

MTH 102 Differentiation Objective Question
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Question

Differentiate \( y = \ln(5x^2 + 3)^4 \).
Options
A \( 40x / (5x^2 + 3) \)
Correct Answer
B \( 10x / (5x^2 + 3) \)
C \( 40x \)
D \( 4 / (5x^2 + 3) \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

( y = 4\ln(5x^2+3) \implies y' = 4(10x/(5x^2+3)) = 40x/(5x^2+3) ).

Hint

Pull the power out in front of the log first.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 208 of 930
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