Neco 2025 Further Mathematics Question 33

Practice objective / multiple choice question 33 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 33 NECO • 2025 • FURTHER_MATHEMATICS • objective

Let \(f(x)=x^{3}-3x+2\). Find all real numbers \(x\) at which the tangent to the curve \(y=f(x)\) is parallel to the line \(y=6x+1\). For each such \(x\) give the corresponding point \((x,\,f(x))\) on the curve.

A. x = \\pm 1, points: (1,2) and (-1,2)

B. x = 0, point: (0,2)

C. x = \\pm \\sqrt{2}, points: (\\sqrt{2},2-\\sqrt{2}) and (-\\sqrt{2},2+\\sqrt{2})

Correct Answer D. x = \pm \sqrt{3}, points: (\sqrt{3},2) and (-\sqrt{3},2)

Correct Answer

Correct Option:

x = \pm \sqrt{3}, points: (\sqrt{3},2) and (-\sqrt{3},2)

This is Neco 2025 Further Mathematics Question 33. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Medium .

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Chat with Support