Question Detail

MTH 102 Differentiation Objective Question
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Question

Find \( dy/dx \) if \( 5y^2 = 2x^3 - 5y \).
Options
A \( 6x^2 / (10y + 5) \)
Correct Answer
B \( x^2 / (2y) \)
C 1
D \( 2x^2 / (y + 1) \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

( 10y y' = 6x^2 - 5y' \implies y'(10y+5) = 6x^2 \implies y' = 6x^2 / (10y+5) ).

Hint

Use implicit differentiation and group the \( dy/dx \) terms together.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 162 of 930
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