Neco 2023 Further Mathematics Question 44

Practice objective / multiple choice question 44 from the 2023 Neco Further Mathematics examination.

Neco 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 44 NECO • 2023 • FURTHER_MATHEMATICS • objective

The curve is defined by \( x^{3}+y^{3}=6xy \). Find \( \frac{dy}{dx} \) at the point \((3,3)\) and write the equation of the tangent line at that point.

Answer Options

A. dy\/dx = -1; tangent line: y = -x + 5
Correct Answer B. dy/dx = -1; tangent line: y = -x + 6
C. dy\/dx = -2; tangent line: y = -x + 5
D. dy\/dx = 0; tangent line: y = 6
Correct Answer
B
Correct Option:
dy/dx = -1; tangent line: y = -x + 6

About This Question

This is Neco 2023 Further Mathematics Question 44. It is one of the objective questions from the 2023 Neco Further Mathematics examination.

Difficulty level: Medium .

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