Find the coordinates of the stationary points y=x^4-8x^2+3

Begin with the equation: y = x4-8x2+3. Differentiate by bringing the power down and reducing the power by 1 of each of the terms with x in and constant terms (3) become zero. dy/dx = 4x3-16x. Stationary point is at dy/dx = 0. 4x3-16x = 0. Solve like a normal cubic equation, x = 0, x = -2, x = 2. Sub into original equation to get y coordinate. So coordinates of stationary points are (0,3) (-2,13) and (2,13).

FH
Answered by Finlay H. Maths tutor

6383 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given that the curve y = 3x^2 + 6x^1/3 + (2x^3)/3x^1, find an expression for the gradient of the curve.


What is a Tree Diagram?


If y = 2(x^2+1)^3, what is dy/dx?


differentiate with respect to x. i). x^(1/2) ln (3x),


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning