Find the turning point(s) of the following function f(x) = x^2-2x+4. Determine whether the turning point is a minimum or maximum.

Differentiate f(x) with respect to x.You get f'(x) = 2x - 2Turning points occur when the derivative of f(x) = 0. In other words, when f'(x) = 0. This occurs when x=1.Now to determine if maximum or minimum, find f''(x) by differentiating f'(x) wrt x. f''(x) = 2. Since 2 is greater than 0, we know from theory that this point must be a minimum.

Answered by Maths tutor

3873 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve to find sin x , 4cos^2 + 7sin x -7 =0


Solve: 2 sin(2x) = (1-sin(x))cos(x) for 0<x<2*Pi and give any values of x, if any, where the equation is not valid


why is sin(x) squared plus cos(x) squared 1?


How can we calculate the derivative of function f(x)= (x+2)/(x-1)?


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