Post Utme Ims U 2023 Mathematics Question 38

Practice objective / multiple choice question 38 from the 2023 Post Utme Ims U Mathematics examination.

Post Utme Ims U 2023 Mathematics Objective / Multiple Choice
Question 38 POST_UTME_IMS_U • 2023 • MATHEMATICS • objective

Find the derivative of the function ( f(x) = \(\frac{x^2 - 4x + 3}{x^2 + 2x + 1}\)\)\) ) using the quotient rule.

Answer Options

Correct Answer A. ( f'\((x) =\)\(\frac{2x - 4 x^2 + 2x + 1 - x^2 - 4x + 3\) 2x + 2 }{ \(x^2 + 2x + 1\) ^2}\)\) )
B. ( f'\((x) =\)\(\frac{2x - 4 x^2 + 2x + 1 + x^2 - 4x + 3\) 2x + 2 }{ \(x^2 + 2x + 1\) ^2}\)\) )
C. ( f'\((x) =\)\(\frac{2x - 4 x^2 + 2x + 1 - x^2 - 4x + 3\) 2x + 2 }{ \(x^2 + 2x + 1\) ^2}\)\) )
D. ( f'\((x) =\)\(\frac{2x - 4 x^2 + 2x + 1 + x^2 - 4x + 3\) 2x + 2 }{ \(x^2 + 2x + 1\) ^2}\)\) )
Correct Answer
A
Correct Option:
( f'\((x) =\)\(\frac{2x - 4 x^2 + 2x + 1 - x^2 - 4x + 3\) 2x + 2 }{ \(x^2 + 2x + 1\) ^2}\)\) )

About This Question

This is Post Utme Ims U 2023 Mathematics Question 38. It is one of the objective questions from the 2023 Post Utme Ims U Mathematics examination.

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