Question Detail

MTH 102 Differentiation Objective Question
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Question

Find the second derivative of \( y = \ln(7 - x^3) \).
Options
A \( \frac{-6x(7-x^3) - 9x^4}{(7-x^3)^2} \)
Correct Answer
B \( \frac{-3x^2}{7-x^3} \)
C \( \frac{1}{7-x^3} \)
D \( -3x^2 \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

First derivative is ( -3x^2 / (7-x^3) ). Second derivative using quotient rule gives the result.

Hint

Apply the quotient rule to the first derivative.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 189 of 930
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