JAMB Mathematics 2025 Objective — Question 18

Question 18 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

Find the derivative of y=(x²+1)/(x-1).

A. (x²-1)/(x-1)²
B. 2x/(x-1)²
C. (x²-2x-1)/(x-1)²Correct
D. (x²+2x+1)/(x-1)²

Explanation

Using the quotient rule with u=x²+1, v=x-1: y' = (2x(x-1)-(x²+1))/(x-1)² = (x²-2x-1)/(x-1)².

Sign up free to unlock

Score tracking
Practice history
Saved questions
Progress dashboard
Personalized sessions
Weak-topic breakdown

…and/or go further with premium services and No Ads.

Create free account

More questions from Mathematics 2025 Objective More Mathematics past papers