x = t^3 + t, y = t^2 +1, find dy/dx

dy/dx = dy/dt x dt/dx

x = t3 + t

dx/dt = 3t2 +1

y = t2 +1

dy/dt = 2t

dy/dx = 2t x (1 / (3t2 +1) )

= 2t / (3t2+ 1)

SK
Answered by Sukhwinder K. Maths tutor

6102 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given that: y = 3x^2 + 6x^1/3 + (2x^3 - 7)/(3x^1/2), x > 0 Find dy/dx, give each term in its simplest form


How do I use simple integration?


differentiate x^2 + 7x + 4


Integrate Cos^2(x)


We're here to help

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

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning