the long way around the differential,
y = a^x
ln(y) = ln(a^x)
= x ln(a)
therefore,
x = ln(y) / ln(a)
dx/dy = 1/(y ln(a))
dy/dx = y ln(a)
therefore,
dy/dx = a^x (ln(a))
sorry for no latex, but yeh
much: just cos it shouldn't even be a word, and it sounds ridiculous when u say it a few times in a row
I didn't eat much food today
whimsical: Acting in a capricious manner
That drama teacher was whimsical
State ranks must be based on external marks as well as internal marks, otherwise there would not be only a single person or just a couple per rank. eg) The mathematics state ranks, at least 20 people in the state last year would have scored marks in the 118-120 region, yet there were over 7...
1-6 for the topics i have done can get most under time pressure and all if not. Many MX2 students will be able to get all the questions from 1-6 correct, it is just how well they can function under time pressure