Work out the coordinates for the stationary point of y = x^2 + 3x + 4

dy/dx = 2x + 3dy/dx = 0 at stationary pointTherefore 2x + 3 = 0so x = -3/2so y = (-3/2)^2 +3 (-3/2) + 4so y = 9/4 - 9/2 + 4therefore y = 7/4so the coordinates of the stationary point are (-3/2 , 7/4)

IM
Answered by Isaac M. Further Mathematics tutor

3103 Views

See similar Further Mathematics GCSE tutors

Related Further Mathematics GCSE answers

All answers ▸

A curve is defined by the equation y = (x + 3)(x – 4). Find the coordinates of the turning point of the curve.


How do I determine if a stationary point on a curve is the maximum or minimum?


Find the coordinates of the minimum/maximum of the curve: Y = 8X - 2X^2 - 9, and determine whether it is a maximum or a minimum.


A curve is mapped by the equation y = 3x^3 + ax^2 + bx, where a is a constant. The value of dy/dx at x = 2 is double that of dy/dx at x = 1. A turning point occurs when x = -1. Find the values of a and b.


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