Question 10 - A-Level Maths

Exam Board	OCR MEI
Module	AS Paper 1 (AS Paper 1)
Year	2019
Session	June
Topic	Differentiation Applications
Type	Increasing/decreasing intervals

10 In this question you must show detailed reasoning.

Sketch the gradient function for the curve \(y = 24 x - 3 x ^ { 2 } - x ^ { 3 }\).
Determine the set of values of \(x\) for which \(24 x - 3 x ^ { 2 } - x ^ { 3 }\) is decreasing.