Turn on thread page Beta
    • Thread Starter
    Offline

    6
    ReputationRep:
    This question is doing my ****ing head in and as i can work out how to differentiate the y term.

    3)a Show that if x= 1/1+t^3 , and y= t/1+t^3 then dy/dx=2t^3 -1/3t^2
    Offline

    17
    ReputationRep:
    (Original post by TlanTlan)
    This question is doing my ****ing head in and as i can work out how to differentiate the y term.

    3)a Show that if x= 1/1+t^3 , and y= t/1+t^3 then dy/dx=2t^3 -1/3t^2
    \dfrac{dy}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{  dt}}.

    You can find \frac{dy}{dt} and \frac{dx}{dt} using the chain rule and the quotient rule respectively.
    Offline

    3
    ReputationRep:
    (Original post by Farhan.Hanif93)
    \dfrac{dy}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{  dt}}.

    You can find \frac{dy}{dt} and \frac{dx}{dt} using the chain rule and the quotient rule respectively.
    Wouldn't you use the quotient rule for both?
    Offline

    17
    ReputationRep:
    (Original post by Thrug)
    Wouldn't you use the quotient rule for both?
    Nope.

    \dfrac{d}{dt}\left[\dfrac{1}{1+t^3}\right] = \dfrac{d}{dt}\left[(1+t^3)^{-1}\right].

    Chain rule it from there.
    Offline

    3
    ReputationRep:
    (Original post by Farhan.Hanif93)
    Nope.

    \dfrac{d}{dt}\left[\dfrac{1}{1+t^3}\right] = \dfrac{d}{dt}\left[(1+t^3)^{-1}\right].

    Chain rule it from there.
    Oh of course
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: March 19, 2011

University open days

  1. University of Edinburgh
    All Departments Undergraduate
    Sat, 22 Sep '18
  2. University of Exeter
    Undergraduate Open Days - Penryn Campus Undergraduate
    Sat, 22 Sep '18
  3. Loughborough University
    General Open Day Undergraduate
    Sat, 22 Sep '18
Poll
Which accompaniment is best?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reply
Hide
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.