Neco 2019 Further Mathematics Question 23

Practice objective / multiple choice question 23 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 23 NECO • 2019 • FURTHER_MATHEMATICS • objective

The curve is defined implicitly by \(x^{3} + y^{3} = 6xy\). Find \(\displaystyle \frac{dy}{dx}\) and \(\displaystyle \frac{d^{2}y}{dx^{2}}\) at the point \((3,3)\).

A. dy\/dx = -1, d^2y\/dx^2 = \frac{16}{3}

B. dy\/dx = -1, d^2y\/dx^2 = -\frac{8}{3}

Correct Answer C. dy/dx = -1, d^2y/dx^2 = -\frac{16}{3}

D. dy\/dx = 1, d^2y\/dx^2 = -\frac{16}{3}

Correct Answer

Correct Option:

dy/dx = -1, d^2y/dx^2 = -\frac{16}{3}

This is Neco 2019 Further Mathematics Question 23. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Medium .

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