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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: kenhung123 on June 12, 2010, 12:31:35 pm

Title: Combination of differentiation
Post by: kenhung123 on June 12, 2010, 12:31:35 pm: I'm using the essentials text and I am wondering where are some questions involving a combination of differentiation techniques? I can only find questions involving 1 technique
Title: Re: Combination of differentiation
Post by: Ilovemathsmeth on June 12, 2010, 04:36:02 pm: I'm a little confused - combination of techniques? You mean like product rule and chain rule in one? I'm sure there are plenty of such examples in Essentials...
Title: Re: Combination of differentiation
Post by: Cthulhu on June 12, 2010, 05:08:25 pm: HERES ONE I JUST MADE UP
Let $f(x) = \frac{2\log_e(3x+1)}{e^{x-3}}$
Find $f'(x)$
It's very doable. I checked.
Title: Re: Combination of differentiation
Post by: dcc on June 12, 2010, 05:09:35 pm: You mean like a question involving the chain rule and the product rule?

(such as)
$\frac{d}{dx}\left( x^2 e^{x^2} \right)$
Title: Re: Combination of differentiation
Post by: kenhung123 on June 12, 2010, 05:56:57 pm: Quote from: Ilovemathsmeth on June 12, 2010, 04:36:02 pm
I'm a little confused - combination of techniques? You mean like product rule and chain rule in one? I'm sure there are plenty of such examples in Essentials...
Quote from: dcc on June 12, 2010, 05:09:35 pm
You mean like a question involving the chain rule and the product rule?

(such as)
$\frac{d}{dx}\left( x^2 e^{x^2} \right)$
Yea these, where is it in essentials?
Title: Re: Combination of differentiation
Post by: TrueTears on June 12, 2010, 06:03:01 pm: there are heaps in ch 9...
Title: Re: Combination of differentiation
Post by: kenhung123 on June 12, 2010, 06:29:06 pm: Chpt 9 is only 1 technique for what I see :S