Find the perpendicular bisector passing through the stationary point of the curve y=x^2+2x-7.

First thing to do is to find the stationary point of the curve. This is done by differentiating the function and then equating to zero, as the gradient of the stationary point is zero. Setting dy/dx to zero and solving for x, will yield x=-1. Since we are finding the bisector to a stationary point it will be a straight vertical line, so we have all the information we need and hence, the line that bisects the stationary point is x=-1.

CM
Answered by Chris M. Maths tutor

3307 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

When do I use the chain rule and when do I use the product rule in differentiation?


How do you intergrate ln(x)?


Given that (2x + 11 )/(2x + 1)(x + 3) ≡ A /(2x + 1) + B /(x + 3) , find the values of the constants A and B. Hence show that the integral from 0 to 2 (2x + 11)/ (2x + 1)(x + 3) dx = ln 15.


Where does the quadratic formula come from?


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