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Math Help - How do you derive...

  1. #1
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    Unhappy How do you derive this...?

    HEY!
    I'm new here and I was wondering how to derive something like:
    How do you derive...-capture.png
    I can do the chain and product rule however the 3 has confused me...

    Any working would be appreciated

    Challenge accepted?
    Last edited by asdfpjdfj; November 3rd 2012 at 07:49 PM.
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  2. #2
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    Re: How do you derive...

    Hey asdfpjdfj.

    d/dx (a*f(x)) = a*d/dx(f(x)).
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  3. #3
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    Re: How do you derive...

    Yes, your function, f(x)=\frac{8(10-x)^2\cdot\sqrt{5(x-5)}}{3} can be written f(x)=\frac{1}{3}\left(8(10-x)^2\cdot\sqrt{5(x-5)}\right), so you use chiro's suggestion with a=\frac{1}{3}.

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  4. #4
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    Re: How do you derive this...?

    Quote Originally Posted by asdfpjdfj View Post
    HEY!
    Click image for larger version. 

Name:	Capture.PNG 
Views:	6 
Size:	2.1 KB 
ID:	25538
    Any working would be appreciated
    Challenge accepted?
    I suggest writing it as:
    \frac{1}{3}\left(8(10-x)^2\cdot\sqrt{5(x-5)}\right)=\frac{8\sqrt{5}}{3}\left((10-x)^2\cdot\sqrt{(x-5)}\right)
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