Post Utme Achievers University 2021 Mathematics Question 12

Practice objective / multiple choice question 12 from the 2021 Post Utme Achievers University Mathematics examination.

Post Utme Achievers University 2021 Mathematics Objective / Multiple Choice
Question 12 POST_UTME_ACHIEVERS_UNIVERSITY • 2021 • MATHEMATICS • objective

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

Answer Options

Correct Answer A. ( f'\((x) =\)\(\frac{2x x^2 + 1 - 2x^3}{\) \(x^2 + 1\) ^2}\)\) )
B. ( f'\((x) =\)\(\frac{2x^2 - 2}{\) \(x^2 + 1\) ^2}\)\) )
C. ( f'\((x) =\)\(\frac{2x^3 - 2x}{\) \(x^2 + 1\) ^2}\)\) )
D. ( f'\((x) =\)\(\frac{2x^2 + 2}{\) \(x^2 + 1\) ^2}\)\) )
Correct Answer
A
Correct Option:
( f'\((x) =\)\(\frac{2x x^2 + 1 - 2x^3}{\) \(x^2 + 1\) ^2}\)\) )

About This Question

This is Post Utme Achievers University 2021 Mathematics Question 12. It is one of the objective questions from the 2021 Post Utme Achievers University Mathematics examination.

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