Answers>Maths>IB>Article

Find out the stationary points of the function f(x)=x^2*e^(-2x)

Using the product rule (u'v+v'u, where u and v are the chosen substitutes) to find the first derivative will be dy/dx=x'=2xe^(-2x)+x^(2)e^(-2x)(-2)=2xe^(-2x)(x-x^2). This will give the details about the slope of the given function at any instance of time.If the stationary points are to be find the second derivative of the should be found as shown;d^(2)y/dx^2=2e^(-2x)(1-4x+2x^2). Stationary point will give the points where the gradient is zero.Therefore by saying d^(2)y/dx^2=0, the stationary points can be found and for this example those values are calculated as x=1+1/sqrt(2) and 1-1/sqrt(2).

Answered by Bilkan I. Maths tutor

2832 Views

See similar Maths IB tutors

Related Maths IB answers

All answers ▸

integrate arcsin(x)


All tickets for a concert are the same price. Amy and Dan pay £63 for some tickets. Amy pays £24.50 for 7 tickets. How many tickets does Dan buy?


When do you use 'n choose k' and where does the formula come from?


How to find the derivative of sqrt(x) from first principles?


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