Welcome to Miami : )
Now on to Calculus if I must..
Some keywords I never understood:
Local minimum- first derivative, set equal to zero, solve, set up intervals and check
Maximum speed- absolute value of velocity
Linearization- find the equation of the tangent line
How Many? – integrate
Lim h> 0 + h – definition of derivative- take derivative of what is behind the parenthesis
Maximum value – find the y- value at the max; take derivative, set equal to 0, solve for x, plug in to find y.
Maximum acceleration- where is maximum slope
Starting point-position- related to original function; zeros of velocity will give you max and mins of position
Vertical tangents- take implicit derivative
Rate- take derivative
Somethings I know how to do:
Lim
x>infintity (20x^2 – 13x + 5)/(5 – 4x^3)
The limit is 0 because of the limit rule when the top degree is smaller than the bottom degree the limit is 0. 2<3
Limh>0 (ln(2+h) – ln2)/h is 1/2 .
You take the derivative of what is outside of the parenthesis to figure out the answer. Since it is ln 2 make that 1/x and plug in 2 therefore giving you the limit at ½.
The average rate of chage of function f on [1, 4] is..
You are given a table of the values
For this problem you use f(b) – f(a)/b – a
Therefore f(4) – f(1)/3 equals 6-2/3 which equals 4/3.
Some things I still don’t really get are e integration, linearization, switching from graphs of first to second to derivative to original or vice versa,.
Over and out, WHO DAT!?
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LINEARIZATION!
ReplyDeleteOk....All you're going to do is find the tangent line..
SO you should get something like y = (blah)x - (blah)
And then they're going to give you some decimal as x =....
so plug that value into the equation thingy as x!!!
then you get sommmeee... number (blah)
find the tangent line. then when you get x you plug that value into the equation and you get a number.
ReplyDeleteLinearization is pretty much like finding the equation for a tangent line. After finding the equation just plug the value they want in to your x.
ReplyDeletederivative of e is simple
ReplyDeleteE ^n = E^n x (n)1
For Linearization, just find the equation of a tangent line! :D Don't forget it to put it into point slope and/or solve for y!
ReplyDeleteFor e integration, u is always the exponent e is raised to. For linerization, you plug into tangent line formula then plug the decimal in for x and solve.
ReplyDeleteJust find the tangent line equation or if its given just plug in the x value to it
ReplyDeletefor linearization just find the equation of the tangent like, then plug you plug in the x value into the equation to get a number which is the answer.
ReplyDelete