Bank of Derivatives (so far...)
Any constant: d/dx C = 0
Power Rule: d/dx cx^n = ncx^(n-1)
Product Rule: d/dx f(x)g(x) = f(x)gÂ(x) + fÂ(x)g(x)
Quotient Rule: *lo di hi minus hi di lo all over lo lo*
In mathematical termsÂ .
d/dx f(x) / g(x) = [ g(x)fÂ(x) - f(x)gÂ(x) ] / [ g(x) ] ^2
There were also the derivatives of the six trig functions that Mr. K proved in the end of class today.
d/dx sin x = cos x--------------- d/dx csc x = - csc x cot x
d/dx cos x = -sin x-------------- d/dx sec x = sec x tan x
d/dx tan x = sec^2 x----------- d/dx cot x = - csc^2 x
See any patterns?
Look at the functions that starts with ÂCÂ, their derivatives are all negative.
The function tan x and cot x, their derivatives are squared.
So today we started off our class with a problem. Boys vs. Girls. Who won the race between Willy the wallaby and Roo the kangaroo?
A verytrickyy tricky question. Yet very funny in some sense. We need more practice on it. And we shall get another one tomorrow =)
For the rest of the class, we filled out our bank of derivatives with a couple of new ones. ItÂs growing larger everyday (except weekends).
That was pretty much what we did today. I have three words before I who's you whos the next scribe and that is...
MEMORIZE MEMORIZE MEMORIZE!
Next Scribe is Prince. Sorry Prince. Hope you're feeling better by tomorrow. I think your the last one. =S I'm not sure.