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

8967 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What does a 95% confidence interval reflect?


integrate (4x^3 +3)(x^4 +3x +16)^2 dx


How do I find the roots of a quadratic equation?


Solve these simultaneous equations: 2x+y-5=0 and x^2-y^2=3


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