The function f(x)=x^2 -2x -24x^(1/2) has one stationary point. Find the value of x when f(x) is stationary, and hence determine the nature of this stationary point.

dy/dx = 2x - 2 -12x-1/2dy/dx = 02x - 2 - 12x-1/2 = 0x = 4 (stationary point)d2y/dx2= 2 + 6x-3/2when x=4, d2y/dx2= 11/411/4 > 0 therefore the point is a minimum

Answered by Maths tutor

2746 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How to integrate e^(5x) between the limits 0 and 1.


Differentiate (x^2)cos(3x) with respect to x


A cricket player is capable of throwing a ball at velocity v. Neglecting air resistance, what angle from the horizontal should they throw at to achieve maximum distance before contact with the ground? How far is that distance?


Find all the stationary points of the curve: y = (2/3)x^3 – (1/2)x^2 – 3x + 7/6 and determine their classifications.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences