C1 Differentiation

Maths and statistics discussion, revision, exam and homework help.

This thread is sponsored by:
Announcements Posted on
Important: please read these guidelines before posting about exams on The Student Room 28-04-2013
Search Thread
Advanced Search
Sign in to Reply
  1. krisshP's Avatar
    1 05-08-2012  10:41
    • Overlord in Training
    • Posts: 2,108
    C1 Differentiation
    Below is a question that I'm stuck on:

    The diagram (see attachment)Click image for larger version.  Name: DSC01413.jpg  Views: 21  Size: 180.8 KB  ID: 166868 shows a sketch of the curve with equation

    y=12x^{\frac{1}{2}}-x^{\frac{3}{2}} for 0\leq x\leq 12

    Show that \frac{dy}{dx}=\frac{3}{2}x^{-\frac{1}{2}}(4-x)

    Below is my only working out:

    \frac{dy}{dx}=6x^{-\frac{1}{2}}-\frac{3}{2}x^{\frac{1}{2}}

    Now what do I have to do to obtain the correct answer?? Have I done anything wrong??

    btw, sorry for the bad quality of the picture of the graph.

    Thanks for any help provided,
  2. dantheman1261's Avatar
    2 05-08-2012  10:44
    • Full Member
    • Posts: 105
    Re: C1 Differentiation
    Now try and factorize out some stuff (the answer gives a big clue)
    Post rating:
    1
  3. JBMJBM's Avatar
    3 05-08-2012  10:46
    • Respected Member
    • Posts: 235
    Re: C1 Differentiation
    Removed
    Last edited by JBMJBM; 14-04-2013 at 21:25.
    Post rating:
    1
  4. krisshP's Avatar
    4 05-08-2012  10:49
    • Overlord in Training
    • Posts: 2,108
    Re: C1 Differentiation
    (Original post by dantheman1261)
    Now try and factorize out some stuff (the answer gives a big clue)
    Thanks a lot

    I get exactly the following:

    \frac{dy}{dx}=\frac{3}{2}x^{-\frac{1}{2}}(4-x)
Sign in to Reply
Search Thread
Advanced Search
Share this discussion:  
Useful resources

Articles:

Study Help rules and posting guidelinesStudy Help Member of the Month nominationsGuide to MathematicsMathematics resourcesMathematics websitesMathematics revision notes in the TSR wikiCambridge Assessment admissions tests (including STEP)How to use LaTeXCareers in Mathematics

Useful Dates:

Quick Link:

Unanswered Maths Threads

Groups associated with this forum:

View associated groups
Article updates
Moderators

We have a brilliant team of more than 60 volunteers looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is moderated by:

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

Shortcuts

Get Started

TSR Group

Using TSR

Info

Connect with TSR

Reputation gems:
The Reputation gems seen here indicate how well reputed the user is, red gem indicate negative reputation and green indicates a good rep.
Post rating score:
These scores show if a post has been positively or negatively rated by our members.