Post Utme Nile University 2025 Mathematics Question 6

Practice objective / multiple choice question 6 from the 2025 Post Utme Nile University Mathematics examination.

Post Utme Nile University 2025 Mathematics Objective / Multiple Choice
Question 6 POST_UTME_NILE_UNIVERSITY • 2025 • MATHEMATICS • objective

Find the derivative of the function ( f(x) = \(\frac{x^2 + 2x - 3}{x^2 - 4}\)\)\) ) using the quotient rule.

Answer Options

Correct Answer A. f'\((x) =\)\(\frac{x^2 - 4\) 2x + 2 - \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\)
B. f'\((x) =\)\(\frac{x^2 + 2x - 3\) 2x + 2 - \(x^2 - 4\) (2x)}{ \(x^2 - 4\) ^2}\)\)
C. f'\((x) =\)\(\frac{x^2 - 4\) 2x + 2 + \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\)
D. f'\((x) =\)\(\frac{x^2 + 2x - 3\) 2x - 2 - \(x^2 - 4\) (2x)}{ \(x^2 - 4\) ^2}\)\)
Correct Answer
A
Correct Option:
f'\((x) =\)\(\frac{x^2 - 4\) 2x + 2 - \(x^2 + 2x - 3\) (2x)}{ \(x^2 - 4\) ^2}\)\)

About This Question

This is Post Utme Nile University 2025 Mathematics Question 6. It is one of the objective questions from the 2025 Post Utme Nile University Mathematics examination.

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