Question 2 - A-Level Maths

Exam Board	SPS
Module	SPS SM (SPS SM)
Year	2022
Session	February
Topic	Differentiation Applications
Type	Find stationary points

Solve the equation \(x ^ { 4 } - 10 x ^ { 2 } + 25 = 0\).
Given that \(y = \frac { 2 } { 5 } x ^ { 5 } - \frac { 20 } { 3 } x ^ { 3 } + 50 x + 3\), find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
Hence find the number of stationary points on the curve \(y = \frac { 2 } { 5 } x ^ { 5 } - \frac { 20 } { 3 } x ^ { 3 } + 50 x + 3\).