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2 unit, Ext$ension 1 or 2 Mathematics Students Read please! (1 Viewer)

tommykins

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回复: 2 unit, Ext$ension 1 or 2 Mathematics Students Read please!

Sight, got it right the first time.
ln sqrt[ (2-x)/(2+x) ] = 1/2 ln (2-x)/(2+x) = 1/2ln (2-x) - 1/2ln(2+x) = 1/2 (ln(2-x) - ln(2+x))

Differentiating that, you get -
y' = 1/2[ -1/(2-x) - 1/(2+x)] which simplifies down to = -2/(2-x)(2+x)
 
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SeftonIsAHole

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lnsqrt(2-x/2+x)
=lnsqrt(2-x) - lnsqrt(2+x)
= (1/2)ln(2-x) - (1/2)ln(2+x)
= (1/2)[ln(2-x) - ln(2+x)]
y' = (1/2)[ (-1/2-x) - (1/2+x)]
then simplify and u get ur answer which is
-2/(2-x)(2+x)

yep, the secret to differentiating logarithms is first simplifying it:wave:
 

Timothy.Siu

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we had a question like that but a bit simpler in our exam, and i didn't split it up i just did it
 

rokkuran-x

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SeftonIsAHole said:
hmm tommyskins is in year 12
and i've learnt it by myself reading off textbooks, school hasn't taught it yet, pretty much year12 level stuff
so don't be worried, you'll love it next year
well im year 11 and i've done it - i just forgot how to do it in the exam
 

independantz

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SeftonIsAHole said:
hmm tommyskins is in year 12
and i've learnt it by myself reading off textbooks, school hasn't taught it yet, pretty much year12 level stuff
so don't be worried, you'll love it next year
There's not really much of a distinction between year 12 and year 11 maths as schools can choose to do the topics in any order.
 

rokkuran-x

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independantz said:
There's not really much of a distinction between year 12 and year 11 maths as schools can choose to do the topics in any order.
we have 2 topics left - geometry and i think its called 'calculus in the real world' or something like that anyway
 

SeftonIsAHole

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kaz1 said:
We haven't started calculus yet. :(
wow, calculus is perhaps the one of the most important topics for the HSC as its pretty much a "tool" that you use to do other questions.
Calculus is probably just as important to you know, as learning to add and subtract when you we're in kindergarten.
In saying that, my school (which is partially selective), has only done "introductory calculus".. which is nothing.
 

Aplus

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Calculas is like 50-60% or more of the course.
 

lyounamu

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ratcher0071 said:
All i know about calculas is differentiation :(
Don't worry, you will be exposed to more calculus in the upcoming years: integration, integration by substitution, definite integral, indefinite integral, Physical Application of calculus, projectile, simple harmonic motion, inverse trig, ah~~~ too much calculus in maths.
 

Aplus

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Funny how Calculas takes up most of Mathematics when it was only discovered by Newton in the 1600's.
 

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