Differentiate the equation y = (2x+5)^2 using the chain rule to determine the x coordinate of a stationary point on the curve.

Use the chain rule as this is a composite function. Let u=2x+5.So the original equation becomes y=(u)^2.Using the chain rule: dy/dx = dy/du * du/dxdy/du = 2udu/dx = 2So dy/dx= 4uSince u=2x+5, dy/dx = 4(2x+5)dy/dx = 8x+20Since stationary points occur when dy/dx=0, let 8x+20=0So 8x=-20So x=-2.5.

Answered by Daniel P. Maths tutor

4570 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

∫6e^(2x+1) dx, find integral


Integrate x*ln(x)


Differentiate the following... f(x)= 5x^4 +16x^2+ 4x + 5


Explain the Principle of Moments.


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