HEY! I'm new here and I was wondering how to derive something like: 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; Nov 3rd 2012 at 07:49 PM.
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Hey asdfpjdfj. d/dx (a*f(x)) = a*d/dx(f(x)).
Yes, your function, $\displaystyle f(x)=\frac{8(10-x)^2\cdot\sqrt{5(x-5)}}{3}$ can be written $\displaystyle f(x)=\frac{1}{3}\left(8(10-x)^2\cdot\sqrt{5(x-5)}\right)$, so you use chiro's suggestion with $\displaystyle a=\frac{1}{3}$. - Hollywood
Originally Posted by asdfpjdfj HEY! Any working would be appreciated Challenge accepted? I suggest writing it as: $\displaystyle \frac{1}{3}\left(8(10-x)^2\cdot\sqrt{5(x-5)}\right)=\frac{8\sqrt{5}}{3}\left((10-x)^2\cdot\sqrt{(x-5)}\right)$
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