Question Detail

MTH 102 Differentiation Objective Question

Question

Find \( dy/dx \) for \( y = \frac{x}{x+1} \).
Options
A \( 1 / (x+1)^2 \)
Correct Answer
B 1
C \( 1 / (x+1) \)
D \( -1 / (x+1)^2 \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Quotient rule: ( [(1)(x+1) - x(1)] / (x+1)^2 = 1 / (x+1)^2 ).

Hint

Recall the quotient rule for fractions of variables.

Question Info