How do you derive...

**asdfpjdfj** · November 3rd 2012, 07:35 PM

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?

**chiro** · November 3rd 2012, 09:42 PM

Hey asdfpjdfj.

d/dx (a*f(x)) = a*d/dx(f(x)).

**hollywood** · November 3rd 2012, 11:22 PM

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 $a=\frac{1}{3}$ .

- Hollywood

**Plato** · November 4th 2012, 04:25 AM

Originally Posted by asdfpjdfj

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:
$\frac{1}{3}\left(8(10-x)^2\cdot\sqrt{5(x-5)}\right)=\frac{8\sqrt{5}}{3}\left((10-x)^2\cdot\sqrt{(x-5)}\right)$

Thread: How do you derive...

LinkBack

Thread Tools

Display

How do you derive this...?

Re: How do you derive...

Re: How do you derive...

Re: How do you derive this...?

Similar Math Help Forum Discussions

y = e4x - 3 derive

Derive question: Need help restricting domains on Derive software...

Did I derive this right?

Please help me derive this!!

How would you derive this??

Search Tags