Question Detail

MTH 102 Differentiation Objective Question
Take CBT

Question

Find \( dy/dx \) if \( y = \ln(x^2 + 1) \).
Options
A \( 2x \)
B \( 1/x^2 \)
C \( 2x / (x^2 + 1) \)
Correct Answer
D \( 1 / (x^2 + 1) \)
Correct Answer

Option C is the correct answer.

Detailed Explanation

Derivative of ( \ln u ) is ( u'/u ). Here ( u = x^2 + 1 ), so ( u' = 2x ).

Hint

Use the chain rule specifically for logarithmic functions.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 130 of 930
Previous Course Details Next