Join TSR now and get all your revision questions answeredSign up now

C3 differentiation

    • Thread Starter
    Offline

    3
    ReputationRep:
    Name:  1475573484960952323006.jpg
Views: 41
Size:  316.1 KB this is my answer for the differentiated form of secxcosecx but the simplied answer is just sec^2x-cosec^2x .

    I don't see how can I turn secxcosecx(Tanx-Cotx) into that form . Thanks
    Offline

    3
    ReputationRep:
    (Original post by coconut64)
    Name:  1475573484960952323006.jpg
Views: 41
Size:  316.1 KB this is my answer for the differentiated form of secxcosecx but the simplied answer is just sec^2x-cosec^2x .

    I don't see how can I turn secxcosecx(Tanx-Cotx) into that form . Thanks
    Factor out a \cot(x) from your final answer and use identities.

    \sec(x) \csc(x) \cot(x) (\tan^2(x)-1)

    So \frac{1}{\cos(x) \sin(x)} \cdot \frac{\cos(x)}{\sin(x)} \cdot (tan^2(x)-1)

    and finish it off from there
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by RDKGames)
    Factor out a \cot(x) from your final answer and use identities.

    \sec(x) \csc(x) \cot(x) (\tan^2(x)-1)

    So \frac{1}{\cos(x) \sin(x)} \cdot \frac{\cos(x)}{\sin(x)} \cdot (tan^2(x)-1)

    and finish it off from there
    How can you factor out COT x when there is only one COT x term ?
    Offline

    3
    ReputationRep:
    you can rewrite y = secx cosecx as

    2/sin2x

    then do a quotient rule...

    y' = -4cos2x/sin22x

    y' = -4(cos2x - sin2x)/(2sinxcox)2

    etc
    Offline

    3
    ReputationRep:
    (Original post by coconut64)
    How can you factor out COT x when there is only one COT x term ?
    And how does that prevent you from doing so, exactly?
 
 
 
Poll
Do you have exam superstitions?
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

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