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September 26, 2025, 07:22:41 am
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Author Topic: TyErd's questions  (Read 42446 times)  Share 

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Re: TyErd's questions
« Reply #180 on: May 09, 2010, 05:46:52 pm »
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how do i do this question:

y= X / 1-x

write dy/dx in terms of y
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brightsky

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Re: TyErd's questions
« Reply #181 on: May 09, 2010, 05:51:10 pm »
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TyErd

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Re: TyErd's questions
« Reply #182 on: May 19, 2010, 04:12:20 pm »
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Differentiate:
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Re: TyErd's questions
« Reply #183 on: May 19, 2010, 04:17:18 pm »
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Just use the product rule.
and
and .

And you can take a common factor of .
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TyErd

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Re: TyErd's questions
« Reply #184 on: May 19, 2010, 04:31:17 pm »
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its embarassing but taking the common factor is the part im having trouble with.
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the.watchman

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Re: TyErd's questions
« Reply #185 on: May 19, 2010, 04:37:15 pm »
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So

From there, we can spot three common factors, e^{3x}, 3 and (2x+1)^2 (always take the lowest powers out)

Taking these three out of the two terms, we have (2x+1) + 2 left-over, right?

So

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Re: TyErd's questions
« Reply #186 on: May 19, 2010, 04:42:27 pm »
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thnx!
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Re: TyErd's questions
« Reply #187 on: May 28, 2010, 04:48:39 pm »
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Differentiate

Okay I use the quick method, and this was my working out but im not sure if it is correct:






is this correct? and do I need to simply further?
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the.watchman

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Re: TyErd's questions
« Reply #188 on: May 28, 2010, 05:09:56 pm »
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Just being pedantic, but so are the examiners

sin(2x) x (x^2... is not equal to 2cos(2x)-1(x^2... :P

You can't write this in the exam, ok? :)
Otherwise, looks good, you can take the two out, but you won't have to :)
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Re: TyErd's questions
« Reply #189 on: May 28, 2010, 05:22:22 pm »
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oh shit sorry forgot dy/dx

so correct answer to this to gain full marks is





    
    

?
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Re: TyErd's questions
« Reply #190 on: May 28, 2010, 05:27:24 pm »
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Should do. Unless they ask for you to use quotient rule...
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Re: TyErd's questions
« Reply #191 on: May 28, 2010, 05:36:52 pm »
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ok thnx
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Re: TyErd's questions
« Reply #192 on: May 28, 2010, 06:23:40 pm »
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Using the first principle, differentiate
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m@tty

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Re: TyErd's questions
« Reply #193 on: May 28, 2010, 06:44:05 pm »
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Sub into .
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brightsky

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Re: TyErd's questions
« Reply #194 on: May 28, 2010, 06:47:38 pm »
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By first principles,

Because ,

So





Substitute :

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