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.

Answered by Chris M. Maths tutor

2748 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Use the substitution u = cos 2x to find ∫(cos^2*(2x) *sin3 (2x)) dx


Using the sum, chain and product rules, differentiate the function f(x) = x^n +x^3 * sin(1/[3x])


How do I find the equation of a tangent to a given point on a curve?


f(x) = x^3 + 3x^2 + 5. Find f''(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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences