Neco 2021 Further Mathematics Question 11

Practice objective / multiple choice question 11 from the 2021 Neco Further Mathematics examination.

Neco 2021 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 11 NECO • 2021 • FURTHER_MATHEMATICS • objective

The curve is given by \( y = \ln\left(x^{2}+1\right) \). Determine the positive value of \( a \) for which the tangent to the curve at \( x = a \) passes through the origin. Then, using that value of \( a \), find the second derivative \( \frac{d^{2}y}{dx^{2}} \) at \( x = a \). Give your answer for \( a \) correct to two decimal places and for the second derivative correct to three decimal places.

Correct Answer A. a = 1.98, y'' = -0.241

B. a = 2.10, y'' = -0.200

C. a = 2.05, y'' = -0.215

D. a = 1.85, y'' = -0.260

Correct Answer

Correct Option:

a = 1.98, y'' = -0.241

This is Neco 2021 Further Mathematics Question 11. It is one of the objective questions from the 2021 Neco Further Mathematics examination.

Difficulty level: Medium .

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