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

5928 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the general solution to the differential equation dy/dx = y/(x+1)(x+2)


How to differentiate with respect to x, xsin2x.


Using the addition formula for sin(x+y), find sin(3x) in terms of sin(x) and hence show that sin(10) is a root of the equation 8x^3 - 6x + 1


How do I show that (cos^4x - sin^4x) / cos^2x = 1 - tan^2x


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:

© 2025 by IXL Learning