Turn on thread page Beta
    • Thread Starter
    Offline

    1
    ReputationRep:
    In my 9231 Further maths syllabus, on mathematical induction it says -

    recognise situations where conjecture based on a limited trial followed by inductive proof is a useful strategy, and carry this out in simple cases e.g. find the nth derivative of x(e^x).

    If we try to do this for x(e^x), first we will differtiate it a couple of times and find the pattern and than finally prove the guess with induction. Am I correct or is their another way?
    • PS Helper
    Offline

    14
    PS Helper
    (Original post by Rishabh95)
    In my 9231 Further maths syllabus, on mathematical induction it says -

    recognise situations where conjecture based on a limited trial followed by inductive proof is a useful strategy, and carry this out in simple cases e.g. find the nth derivative of x(e^x).

    If we try to do this for x(e^x), first we will differtiate it a couple of times and find the pattern and than finally prove the guess with induction. Am I correct or is their another way?
    Yes, you're right. The idea is that if you do something recursively a few times and spot a pattern, then you can make a conjecture about the nth recursion and then prove that it's true by induction.
    • Thread Starter
    Offline

    1
    ReputationRep:
    (Original post by nuodai)
    Yes, you're right. The idea is that if you do something recursively a few times and spot a pattern, then you can make a conjecture about the nth recursion and then prove that it's true by induction.
    Thanks for the help!
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: April 8, 2011
The home of Results and Clearing

2,578

people online now

1,567,000

students helped last year

University open days

  1. SAE Institute
    Animation, Audio, Film, Games, Music, Business, Web Further education
    Thu, 16 Aug '18
  2. Bournemouth University
    Clearing Open Day Undergraduate
    Fri, 17 Aug '18
  3. University of Bolton
    Undergraduate Open Day Undergraduate
    Fri, 17 Aug '18
Poll
Do you want your parents to be with you when you collect your A-level results?
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.