Hi,
I'm in the process of completing my physics coursework (A-level) and have run into a bit of a problem:
I am trying to find a general equation for a plate capacitor, where the plates aren't parallel.
I've always seen the parallel plate capacitor equation:
C = \frac {\epsilon A}{d}...
Do you know pascals triangle? If you look down to the sixth row there are 6 numbers, hence your expansion has 6 terms. You can think of it like this: a quadratic has 3 terms, a cubic has 4 terms etc. As a rule if you have an expansion to the power n there will be n+1 terms (assuming none of the...
I've solved the problem the way you asked me too, I'm not going to step you through it as that ruins the fun...
I basically started from this point though, can you do anything to the right hand side that would cancel a few things on the left hand side?
To use my method you'll have to adapt...
That's what I was trying to write! I can't get the hang of tex at all... I editted it a few times but couldn't get it to look like: y=x^{(x^x)}
Thanks though at least I know I'm on the right path (I should have explained what I was trying to do a little better in hindsight..)
I'll...
Instead of starting a new thread I thought I'd "borrow" this one:
I am trying to differentiate the function y=(x^x)^x
Would this working be correct?
y = (x^x)^x = x^f^(^x^)
\rightarrow ln(y) = f(x)ln(x)
\frac{dy}{dx}\frac{1}{y} = (f(x))(\frac{dln(x)}{dx}) + (ln(x))(\frac{df(x)}{dy})
=...