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Edexcel A2 C3 Mathematics 12th June 2015

How do you differentiate sec^2?

I can think of two ways, use quotient rule with 1/cos^2 (taking bottom as v and top as u), or product rule using sec*sec or maybe even (sec)^2 and then differentiating normally so that's a third way. Sorry if I'm wrong though, please let me know.

Reply 1161

Gilo98

14

Original post by Medicjug

I heard you could drop 16 marks and get full ums

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:O didnt find it that bad

Reply 1162

BioAgent

10

what happens when you differentiate a integer value?

Reply 1163

Maham88

2

Original post by adorablegirl1202

https://07a69ccf283966549a9350d1a66951a7bc96e2dc.googledrive.com/host/0B1ZiqBksUHNYZ0JQM1NRcmdHdXM/June%202005%20QP%20-%20C3%20Edexcel.pdf
Hey, for 5d - can someone please help me understand why we don't use -3/4?

what -3/4 ?

Reply 1164

samb1234

13

Original post by Gilo98

:O didnt find it that bad

It is either 63 or 64 I can't remember which. Give me 5 minutes I'll find a table with all the pre 2014 boundaries.

Edit: it was 64/75. All the boundaries before 2014 all the way back to 2003 or whenever it started are in this thread a bit of a way down the first page http://www.thestudentroom.co.uk/showthread.php?t=2692188
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(edited 8 years ago)

Reply 1165

Medicjug

2

Original post by BioAgent

what happens when you differentiate a integer value?

You get zero. C1 knowledge

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Reply 1166

BioAgent

10

Original post by Medicjug

You get zero. C1 knowledge

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Ouch.

Reply 1167

Medicjug

2

Original post by BioAgent

Ouch.

sorry didn't mean to sound mean just came across that way :smile:

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Reply 1168

hsheahan

2

Original post by Reventón

I can think of two ways, use quotient rule with 1/cos^2 (taking bottom as v and top as u), or product rule using sec*sec or maybe even (sec)^2 and then differentiating normally so that's a third way. Sorry if I'm wrong though, please let me know.

f(x) = sec^2(x) = (sec x)^2

so f'(x) = 2 (secx) (secxtanx) = 2 sec^2(x) tan(x)

Reply 1169

Nirm

13

Is there a technique to/formula for example sin2A= 2sinAcosA, how would you know or work out what sin3A or sin4A would expand into/look like? This also applies to cos2A and tan2A not just sine.

Reply 1170

it's a me, mario

2

Original post by Nirm

Is there a technique to/formula for example sin2A= 2sinAcosA, how would you know or work out what sin3A or sin4A would expand into/look like? This also applies to cos2A and tan2A not just sine.

I dont know, but maybe you just gotta use addition formula

So sin3a = sin(2a+a)

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Reply 1171

Hash1mate

1

Is there any possible way to use the CAST diagrams to solve Sinx=0, Cosx=0 and Tanx=0 for solutions instead of the graph's?

Reply 1172

Ripper Phoenix

17

how do you get range of functions that look like this:

1/(x+1)(x-1) or 2x/(3x+5)

like also how do i know when to say y is not equal to 0 as part of the range answer

help?

Reply 1173

Gome44

10

Original post by Nirm

Is there a technique to/formula for example sin2A= 2sinAcosA, how would you know or work out what sin3A or sin4A would expand into/look like? This also applies to cos2A and tan2A not just sine.

As It's a me mario says, use sin(2a+a), or if you're feeling really exotic you can use de moivres theorem (fp2)

Reply 1174

adorablegirl1202

2

Original post by Maham88

what -3/4 ?

I substituted it into the original equation and did the positive mod and negative mod and solved

Reply 1175

adorablegirl1202

2

https://07a69ccf283966549a9350d1a66951a7bc96e2dc.googledrive.com/host/0B1ZiqBksUHNYZ0JQM1NRcmdHdXM/June%202014%20QP%20-%20C3%20Edexcel.pdf for 5b, how do we work out the range? i'm quite bad with these type of questions

Reply 1176

anonwinner

19

Original post by adorablegirl1202

https://07a69ccf283966549a9350d1a66951a7bc96e2dc.googledrive.com/host/0B1ZiqBksUHNYZ0JQM1NRcmdHdXM/June%202014%20QP%20-%20C3%20Edexcel.pdf for 5b, how do we work out the range? i'm quite bad with these type of questions

This video explains exactly how to do it https://www.youtube.com/watch?v=SOb5ncF6x2I

Reply 1177

anonwinner

19

Original post by Hash1mate

Is there any possible way to use the CAST diagrams to solve Sinx=0, Cosx=0 and Tanx=0 for solutions instead of the graph's?

Yes it's the exact same as doing it for any other question?

Reply 1178

anonwinner

19

I'm kinda upset, really want an A* but I always make dumb mistakes that lose 5-10marks

Reply 1179

bbadonde2

4

Original post by anonwinner

I'm kinda upset, really want an A* but I always make dumb mistakes that lose 5-10marks

Just do the exam really slowly and check your answer after very question and then check everything again at the end. Just do that in a few past papers today and see if you come out any better?

Edexcel A2 C3 Mathematics 12th June 2015

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