Question Detail

MTH 102 MTH 102 Past Questions Objective Question
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Question

Given y = (1+x²) / (1-x²), find dy/dx
Options
A x / (1-x²)²
B 4x / (1-x²)²
Correct Answer
C 4 / (1-x²)²
D 2x / (1-x²)²
Correct Answer

Option B is the correct answer.

Detailed Explanation

Use the quotient rule, d/dx(u/v) = (v u' - u v') / v².Let u = 1+x², so u' = 2x.Let v = 1-x², so v' = -2x.dy/dx = [(1-x²)(2x) - (1+x²)(-2x)] / (1-x²)²dy/dx = [2x - 2x³ + 2x + 2x³] / (1-x²)²dy/dx = [4x] / (1-x²)² = 4x / (1-x²)².

Hint

Apply the quotient rule for differentiation carefully.

Question Info

Course: MTH 102
Topic: MTH 102 Past Questions
Type: Objective
Difficulty: Not specified
Question 329 of 930
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