Find the turning point of y = x + 1 + 4/x2 and describe the nature of the turning point

To find the turning point of the equation, it should be recognised that we desire the point at which the gradient is 0. The gradient is given by dy/dx and hence we differentiate the equation with respect to x to yield the following:dy/ dx = 1 -8 x^(-3) Equating dy/ dx to 0 and solving for x, we get: x = 2 Substituting this into the original curve equation we can get y. The nature of the turning point can be determined by taking a second derivative i.e. find d^2y/ dx^2. The answer is found by substituting x = 2 into this expression, yielding d^2y/dx^2 > 0 and hence it is a minimum.

AK
Answered by Animit K. Maths tutor

8838 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What are the necessary conditions for a random variable to have a binomial distribution?


How would I answer this question? Use factor theorem to show (x-2) is a factor of f(x) = 2x^3 -7x^2 +4x +4.


How do you differentiate by first principles?


A particle of mass M is being suspended by two ropes from a horizontal ceiling. Rope A has a tension of 15N at 30 deg and rope B has a tension of xN at 45 deg, find M assuming the particle remains stationary.


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