Question Detail

MTH 102 Differentiation Objective Question
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Question

Find \( dy/dx \) if \( 5x^3 = -3xy + 2 \).
Options
A \( (-y - 5x^2) / x \)
Correct Answer
B \( 15x^2 / -3x \)
C \( -5x^2 / y \)
D 1
Correct Answer

Option A is the correct answer.

Detailed Explanation

( 15x^2 = -3y - 3x y' \implies 3x y' = -3y - 15x^2 \implies y' = (-y - 5x^2)/x ).

Hint

Use product rule for the \( xy \) term during implicit differentiation.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 176 of 930
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