A curve is defined by the parametric equations x = 3 - 4t, and y = 1 + 2/t. Find dy/dx in terms of t.

At first glance, this looks quite tricky, as usually when we are asked to find dy/dx, we have one equation, but here we have 2.So in this case, we need to use the statement that dy/dx = (dy/dt) * (dt/dx)Then, we just need to find dy/dt and dy/dx.dy/dt = -2/t^2dx/dt = -4, and therefore dt/dx = -1/4So, (dy/dt)(dt/dx) = (-2/t^2)(-1/4)= 1/2t^2.

WM
Answered by Wesley M. Maths tutor

10040 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Evaluate the indefinite integral: ∫ (e^x)sin(x) dx


Given that y = 4x^3 – 5/(x^2) , x =/= 0, find in its simplest form dy/dx.


What is the best way to prove trig identities?


Integrate ln(x) wrt dx


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