The equation of a curve is xy^2= x^2 +1. Find dx/dy in terms of x and y, and hence find the coordinates of the stationary points on the curve.

dy/dx = (2x-y2)/(2xy)Stationary points: (1, root(2)) , (1, -root (2))

RS
Answered by Rishi S. Maths tutor

8964 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

find the value of dy/dx at the point (1,1) of the equation e^(2x)ln(y)=x+y-2


How to integrate by parts


The line L has equation 7x - 2y + 11 = 0, Find the gradient of l


Express asin(x) + bcos(x) in the form Rsin(x+c), where c is a non-zero constant.


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