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

5718 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the gradient of the tangent to the line y=(x-2)^2 at the point that it intercepts the y-axis


Co-ordinate Geometry A-level: The equation of a circle is x^2+y^2+6x-2y-10=0, find the centre and radius of the circle, the co-ordinates of point(s) where y=2x-3 meets the circle and hence state what we can deduce about the relationship between them.


Differentiate with respect to x: y = xln[2x]


Use logarithms to solve the equation 2^5x = 3^2x+1 , giving the answer correct to 3 significant figures.


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences