Neco 2024 Further Mathematics Question 31

Practice objective / multiple choice question 31 from the 2024 Neco Further Mathematics examination.

Neco 2024 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 31 NECO • 2024 • FURTHER_MATHEMATICS • objective

A function \(f\) is defined by \(f(x)=\begin{cases} ax^{2}+bx+3, & x\le 1,\\ \ln\!\left(x^{2}+1\right), & x>1. \end{cases}\). Determine the constants \(a\) and \(b\) so that \(f\) is differentiable at \(x=1\). Then find \(f'(2)\).

Answer Options

A. 5/4
B. 4/3
C. 3/5
Correct Answer D. 4/5
Correct Answer
D
Correct Option:
4/5

About This Question

This is Neco 2024 Further Mathematics Question 31. It is one of the objective questions from the 2024 Neco Further Mathematics examination.

Difficulty level: Medium .

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