Gce Model Questions Vol1 2018 Further Mathematics Question 33

Practice objective / multiple choice question 33 from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2018 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 33 GCE_MODEL_QUESTIONS_VOL1 • 2018 • FURTHER_MATHEMATICS • objective

The curve is given by \(y = x^{3}e^{-x}\). Find the non‑zero \(x\)-coordinate at which the tangent to the curve is horizontal, and give the corresponding \(y\)-coordinate in simplest form.

Answer Options

A. x = 2, y = 8/e^2
B. x = 4, y = 64/e^4
Correct Answer C. x = 3, y = 27/e^3
D. x = 1, y = 1/e
Correct Answer
C
Correct Option:
x = 3, y = 27/e^3

About This Question

This is Gce Model Questions Vol1 2018 Further Mathematics Question 33. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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