Alrighty another blog..
So we are still going over ap tests, great. I have been getting straight zeroes! Yeah, so not encouraging. I tried doing corrections, and I still don't know what I'm doing. I think the ap tests are freaking me out. It's like I forget everything we have learned when I'm taking the test.
But I am going to go over some things that I learned:
1. If y=e^-x^2, then y^11(0) equals?
y^11(o)--->clue words to take derivative, take second derivative, plug in 0
e^-x^2(-2x)
e^-x^2(-2)+(-2x)e^-x^2(-2x)
e^-0^2(-2)+(-2(0))e^-0^2(-2(0))
1(-2)= -2
2. Rate of change--->SLOPE
3. lim (ln(2+h)-ln2)/h
h->0
All you have to do is take the derivative of ln2, but for this you need to treat 2 like an x. Then at the end plug 2 back in.
ln2= lnx
lnx= 1/x
1/x= 1/2
4. and just to review:
delta x=b-a/number of subintervals
LRAM-left hand approximation
delta x[f(a)+f(a+delta x)+...f(b-delta x)]
RRAM-right hand approximation
delta x[f(a+delta x)+...f(b)]
MRAM-riddle approximation
delta x[f(mid)+f(mid)+...]
Trapezoidal
delta x/2[f(a)+2f(a+delta x)+2f(a+2 delta x)+...f(b)]
DON'T KNOW:
Well I'm still having trouble with e integration, substitution, and working my calculator. Can someone describe to me how to plug in to the derivative or integral function in the calculator? Oh and can someone go over acceleration or velocity, like does that mean I'm dealing with derivatives or integrals?
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The derivative of the position function is the velocity function.
ReplyDeleteThe derivative of the velocity function is the acceleration function.
The integral of the acceleration function is the velocity function.
The integral of velocity function is the position function.
For e integration, u will always be the the exponent e is raised to.
ReplyDeletePosition, velocity, acceleration
Position is the first one and if you take the derivative of position you get velocity and if you take the derivative of velocity you get acceleration. Just go backwards starting from acceleration for integration.
Also, the absolute value of velocity is speed.
For the trouble you're having with position/velocity/acceleration:
ReplyDeletePosition relates to the original function
If you take the derivative of position, that gives you velocity.
If you take the derivative of velocity you get acceleration.
vice versa the integral of acceleration is velocity while the integral of velocity is position.
get ittt?
to plug take a derivative in your calc you go to y = like your about to graph it, type in the function and then hit second calc. go to derivitave. then it will ask you to give an x value. You then find what x your looking at and select it and it will then tell you the derivative of that function at that x.
ReplyDeleteThe derivative ofmposition function is velocity.
ReplyDeleteThe derivative of velocity is acceleration.
The integral of acceleration is velocity.
The integral of velocity is the position.
yeeeerd me.
plugging in an integral is really easy..
ReplyDeleteyou go to math, then press 9
then you enter your equation, make sure you use the correct amount of parenthesis so you will still have one to close everything after you put in your endpoints..
then after your equation, put a comma, lower bound, upperbound, then close parenthesis..
press enter and let the games begin.