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C1 calculus: what on earth

Final question as I come to a finish with my C1 revision, sorry for my persistence with it.

Could any mortal tell me what on earth this rubbish means:

y = f(x) ± g(x) then dy/dx = f'(x) ± g'(x)

None of this explicated in the C1 textbook, just sticks it on at the summary page of Chapter 7. From the looks of it, it involves two functions that are differentiated simultaneously, but could anyone put it into context/give an example or attempt to explain it? Not sure of how and when I'd use it, just generally confused.

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Original post by snow leopard
Final question as I come to a finish with my C1 revision, sorry for my persistence with it.

Could any mortal tell me what on earth this rubbish means:

y = f(x) ± g(x) then dy/dx = f'(x) ± g'(x)

None of this explicated in the C1 textbook, just sticks it on at the summary page of Chapter 7. From the looks of it, it involves two functions that are differentiated simultaneously, but could anyone put it into context/give an example or attempt to explain it? Not sure of how and when I'd use it, just generally confused.


If Y equals function 1 + function 2, the derivative of Y equals the derivative of function 1 + the derivative of function 2. The same goes for subtracting. Treat each part separately.
(edited 13 years ago)
Reply 2
Avatar for Pheylan
Pheylan
Do you know what ±\pm means?
Reply 3
Avatar for chembob
chembob
10
When you differentiate stuff added together you treat each bit separately
Reply 4
Avatar for insparato
insparato
15
It means that if you have two different functions and you want to differentiate them, you have to differentiate each different functions separately.
Reply 5
Avatar for Liam_G
Liam_G
14
It just means that the differential of y = f(x) ± g(x) can be written as y = f'(x) ± g'(x), in some exams they will write an equation starting with f'(x) rather than f(x) to show that it has already been differentiated, so you will generally need to integrate it.


I think....
Reply 6
Avatar for snow leopard
snow leopard
OP
1
Original post by ArsLongaVitaBrevis
If Y equals function 1 + function 2, the derivative of Y equals the derivative of function 1 + the derivative of function 2. The same goes for subtracting. Treat each part separately.


Thank you; to the point. Just needed to double check my thoughts with a worded equivalent of the summary giberrish. Thanks again.

Original post by Pheylan
Do you know what ±\pm means?


Yup.
Original post by snow leopard
Thank you; to the point. Just needed to double check my thoughts with a worded equivalent of the summary giberrish. Thanks again.



Yup.


You're welcome. Are you in year 12?
Reply 8
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snow leopard
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1
Original post by ArsLongaVitaBrevis
You're welcome. Are you in year 12?


Indeed, I am Are you?

Taking units C1 C2 S1 next month ~
Original post by snow leopard
Indeed, I am Are you?

Taking units C1 C2 S1 next month ~


Lucky, I'm in year 11 and can't wait to start doing maths in school. Good luck by the way, I assume you're taking A Level maths over 2 years? These are your first modules right?
Reply 10
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snow leopard
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Original post by ArsLongaVitaBrevis
Lucky, I'm in year 11 and can't wait to start doing maths in school. Good luck by the way, I assume you're taking A Level maths over 2 years? These are your first modules right?


From your explanation of the calculus point and the fact your only in year 11, you must be really smart ~

Aren't you doing maths in school right now? I fully recommend a level maths to you though, although I'd like to briefly warn from experience to keep an eye on whether you'll get the modules completed as in my school a lot of classes are in a mess with C2.

Will definitely be taking Maths to A2 (2 years). C1 C2 S1 are my first, and I really hate S1 it's horrible, statistics are just boring gah, I wish I self-taught myself D1 and entered for that instead of S1.
Original post by snow leopard
From your explanation of the calculus point and the fact your only in year 11, you must be really smart ~

Aren't you doing maths in school right now? I fully recommend a level maths to you though, although I'd like to briefly warn from experience to keep an eye on whether you'll get the modules completed as in my school a lot of classes are in a mess with C2.

Will definitely be taking Maths to A2 (2 years). C1 C2 S1 are my first, and I really hate S1 it's horrible, statistics are just boring gah, I wish I self-taught myself D1 and entered for that instead of S1.


Does that mean that your school does all three exams at once in May and no Maths modules in January? Yikes! :s-smilie:
Original post by snow leopard
From your explanation of the calculus point and the fact your only in year 11, you must be really smart ~

Aren't you doing maths in school right now? I fully recommend a level maths to you though, although I'd like to briefly warn from experience to keep an eye on whether you'll get the modules completed as in my school a lot of classes are in a mess with C2.

Will definitely be taking Maths to A2 (2 years). C1 C2 S1 are my first, and I really hate S1 it's horrible, statistics are just boring gah, I wish I self-taught myself D1 and entered for that instead of S1.


Thanks, although C1 calculus is nothing complicated really - just wait until partial fractions and integration by substitution in C3 and C4, as well as integrating trig functions. I am doing GCSE 'maths', but I wouldn't call it maths as such. Next year I will be taking accelerated A-Level Maths, and Further Maths as well.
Reply 13
Avatar for limetang
limetang
19
Original post by ArsLongaVitaBrevis
Thanks, although C1 calculus is nothing complicated really - just wait until partial fractions and integration by substitution in C3 and C4, as well as integrating trig functions. I am doing GCSE 'maths', but I wouldn't call it maths as such. Next year I will be taking accelerated A-Level Maths, and Further Maths as well.


I wouldnt be that excited about C3 and C4. Integration by parts and partial fractions are just very time consuming.
Reply 14
Avatar for snow leopard
snow leopard
OP
1
Original post by ArsLongaVitaBrevis
Thanks, although C1 calculus is nothing complicated really - just wait until partial fractions and integration by substitution in C3 and C4, as well as integrating trig functions. I am doing GCSE 'maths', but I wouldn't call it maths as such. Next year I will be taking accelerated A-Level Maths, and Further Maths as well.


Haha the way you shrug off C1 as if its baby doings XD

Agreed; GCSE maths is brainless and unworthy, you could crash-course the whole thing two days prior the exam, it does nothing for the transition to A level.

If you're really passionate and inspired by maths I'd suggest a third maths a level, additional further maths also known as 'unchosen modules', such as the D2 or M3 and etc.
Original post by snow leopard
Haha the way you shrug off C1 as if its baby doings XD

Agreed; GCSE maths is brainless and unworthy, you could crash-course the whole thing two days prior the exam, it does nothing for the transition to A level.

If you're really passionate and inspired by maths I'd suggest a third maths a level, additional further maths also known as 'unchosen modules', such as the D2 or M3 and etc.


In terms of mathematical complexity, it is.
I'm glad you agree.
I hate decision maths.
Original post by limetang
I wouldnt be that excited about C3 and C4. Integration by parts and partial fractions are just very time consuming.


I don't get particularly challenged or excited by them, but if the OP had a little trouble getting their head around the rules of differentiation they may find the above hard at first sight. Now FP1-3 - that's exciting alright.
Reply 17
Avatar for limetang
limetang
19
Original post by ArsLongaVitaBrevis
I don't get particularly challenged or excited by them, but if the OP had a little trouble getting their head around the rules of differentiation they may find the above hard at first sight. Now FP1-3 - that's exciting alright.


True. I mean I wish I'd done further, but I was in an awful class for GCSE maths and only ended up with a B. As opposed to now where I'm getting A*'s. So I wasnt allowed to do it at the start of Y12.
Reply 18
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snow leopard
OP
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Original post by ArsLongaVitaBrevis
In terms of mathematical complexity, it is.
I'm glad you agree.
I hate decision maths.


Yes, but you can't hate it as much as statistics. Cannot wait until S1 is over, it's so so boring.
Reply 19
Avatar for snow leopard
snow leopard
OP
1
Original post by ArsLongaVitaBrevis
I don't get particularly challenged or excited by them, but if the OP had a little trouble getting their head around the rules of differentiation they may find the above hard at first sight. Now FP1-3 - that's exciting alright.


Wasn't really having trouble, just wanted to make sure 100% of its meaning as my class just scraped the surface on chapter 7, can never be careless in maths for the slightest of things.

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