Hi I've been asked to prove
using
but I'm not sure how to go about it.
If I start;
I don't see how to go anywhere else but to prove that
(The latex is really messed up on this site & I can't put minuses & subscripts into the exponents, I've made it as reasonably clear as I can).
Moderator edit: No, the latex is not "really messed up on this site". You just don't know how to format the code. Reading the Latex Tutorial always helps: http://www.mathhelpforum.com/math-he...-tutorial.html.
Yeah I really think it's just that, however the book is telling me to use
(I just use y instead of x_2 to ease up on the latex).
& I can't see how it comes about. These proof's use technique's like 'functions with the same derivative differ by a constant' & logarithmic differentiation to prove some of these laws, I don't see how any of it fits into this.
Note that to have more than one symbol in an exponent (or numerator of a fraction or denominator of a fraction or in a sqrt symbol...) you need to enclose them in { }.
I think you are saying that you need to show that , using the fact that
Don't use logarithms, just look at .
And if that proves that then I could use this fact to prove:
by
Then smushing it all together to prove:
by;
(Thanks, if there's no error here then thanks for pointing me in the right direction, darn book!).
While I liked the way you did it AllanCuz I was asking for instructions on how to derive the identity explicitly Going off as I had already proved that.
Also, sorry about the latex comment, the use of latex is the exact same to that on other sites I've used in every way except putting more than one term in the exponent, I incorrectly assumed it was a latex problem as I've been on one site where there was an issue with latex.