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

Answered by Matthew W. Maths tutor

3895 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate e^(xsinx)


A curve has equation y = 4x + 1/(x^2) find dy/dx.


Find the gradient of the curve y = sin(2x) + 3 at the point where x = pi


How do you integrate ln(x)?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences