Gce Model Questions Vol1 2017 Further Mathematics Question 46

Practice objective / multiple choice question 46 from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2017 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 46 GCE_MODEL_QUESTIONS_VOL1 • 2017 • FURTHER_MATHEMATICS • objective

For the curve defined by \(x^{3}+y^{3}=6xy\): (i) Find the \(x\)-coordinate of the point where the tangent is parallel to the \(x\)-axis. (ii) Compute the second derivative \(\frac{d^{2}y}{dx^{2}}\) at that point.

Answer Options

A. x = \sqrt[3]{8}, d^2y\/dx^2 = -2
B. x = \sqrt[3]{27}, d^2y\/dx^2 = 0
Correct Answer C. x = \sqrt[3]{16}, d^2y/dx^2 = -1
D. x = \sqrt[3]{16}, d^2y\/dx^2 = -2
Correct Answer
C
Correct Option:
x = \sqrt[3]{16}, d^2y/dx^2 = -1

About This Question

This is Gce Model Questions Vol1 2017 Further Mathematics Question 46. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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