Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    12
    ReputationRep:
    Hey,

    i am beyond frustration with differentiating quotient agh.
    Could anyone please help with the following:

    Differentiate with respect to x
    x/(x+1) ^1/2

    Thanks
    Offline

    17
    ReputationRep:
    Try instead using the product rule on x(x+1)-1/2 and see if that gets you anywhere :cute:
    • Community Assistant
    Offline

    18
    ReputationRep:
    (Original post by lailapianai)
    Hey,

    i am beyond frustration with differentiating quotient agh.
    Could anyone please help with the following:

    Differentiate with respect to x
    x/(x+1) ^1/2

    Thanks
    Use the quotient rule. Let \frac{u}{v} = \frac{x}{(x+1)^\frac{1}{2}} you'll have to find v' using the chain rule, as (x+1)^\frac{1}{2} is a composite function.
    Offline

    19
    ReputationRep:
    If the quotient rule is not too fun for you, product rule is perfectly valid (quotient rule is just an application of the product rule after all) and maybe faster. What have you tried?
    Offline

    19
    ReputationRep:
    Simply put,
    1) mutliply the bottom bit by the derivative of the top bit then minus (the product of the top bit and the derivative of the bottom bit)
    2) divide the whole expression by the bottom bit squared.
    • Thread Starter
    Offline

    12
    ReputationRep:
    (Original post by Alexion)
    Try instead using the product rule on x(x+1)-1/2 and see if that gets you anywhere :cute:
    I tried this and i still cant get the answer
    I got -1/2x (x+1)^1/2 /(x+1)^1/2
    • Thread Starter
    Offline

    12
    ReputationRep:
    (Original post by 13 1 20 8 42)
    If the quotient rule is not too fun for you, product rule is perfectly valid (quotient rule is just an application of the product rule after all) and maybe faster. What have you tried?
    I tried using the product rule instead and got this
    -1/2x (x+1)^1/2 /(x+1)^1/2
    Offline

    17
    ReputationRep:
    (Original post by Alexion)
    Try instead using the product rule on x(x+1)-1/2 and see if that gets you anywhere :cute:
    (Original post by lailapianai)
    I tried this and i still cant get the answer
    I got -1/2x (x+1)^1/2 /(x+1)^1/2
    Well if we take the two sections we get

    (x+1)-1/2 * -(1/2)x(x+1)-3/2

    from the product rule. Try simplifying that.

    Remember the second term if you're using the product rule is (x+1)-1/2 not (x+1)1/2
    • Thread Starter
    Offline

    12
    ReputationRep:
    (Original post by Alexion)
    Well if we take the two sections we get

    (x+1)-1/2 * -(1/2)x(x+1)-3/2

    from the product rule. Try simplifying that.

    Remember the second term if you're using the product rule is (x+1)-1/2 not (x+1)1/2
    Thanks
 
 
 
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • Poll
    Are unpaid trial work shifts fair?
    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
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • 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

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