Post Utme Pan Atlantic University 2017 Mathematics Question 17

Practice objective / multiple choice question 17 from the 2017 Post Utme Pan Atlantic University Mathematics examination.

Post Utme Pan Atlantic University 2017 Mathematics Objective / Multiple Choice
Question 17 POST_UTME_PAN-ATLANTIC_UNIVERSITY • 2017 • MATHEMATICS • objective

Find the derivative of ( f(x) = \(\frac{x^2}{x\)^2 + 1}\)\) ) using the chain rule.

Answer Options

Correct Answer A. ( f'\((x) =\)\(\frac{2x x^2 + 1 - 2x^2}{\) \(x^2 + 1\) ^2}\)\) )
B. ( f'\((x) =\)\(\frac{2x^2}{\) \(x^2 + 1\) ^2}\)\) )
C. ( f'\((x) =\)\(\frac{2x}{x^2 + 1\) ^2}\)\) )
D. ( f'\((x) =\)\(\frac{2x^2 + 2}{\) \(x^2 + 1\) ^2}\)\) )
Correct Answer
A
Correct Option:
( f'\((x) =\)\(\frac{2x x^2 + 1 - 2x^2}{\) \(x^2 + 1\) ^2}\)\) )

About This Question

This is Post Utme Pan Atlantic University 2017 Mathematics Question 17. It is one of the objective questions from the 2017 Post Utme Pan Atlantic University Mathematics examination.

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