Find the coordinates of the stationary points for the curve y = x^4 - 2*x^2 + 5.

First solve to find dy/dx.dy/dx = 4x^3 - 4xThe stationary points occur when dy/dx = 0. Solve the equation to find the values of x for when dy/dx = 0.4x(x^2 - 1) = 0 x = 0, x = 1, x = -1Finally sub in the values of x into the equation for y to find the corresponding y values.y = 5, y = 8, y = 8

MW
Answered by Matthew W. Maths tutor

6062 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you find the equation of a tangent to a curve at a particular point?


Factorize completely x^3 - 6x^2 + 11x - 6


Given that x = ln(sec(2y)) find dy/dx


What is the derrivative (dy/dx) of the equation 2 = cos 4x - cos 2y in terms of x and y?


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