Test 1 - 9/23/21 Flashcards
units of F(x) vs units of f related to x
f(x) is the value of the y axis while f related to x is ride/run
explain velocity increasing or decreasing in all senarios
getting faster in pos direction - inc
getting faster in neg direction - dec
getting slower in pos direction - dec
getting slower in neg direction - inc
average rot formula
F(a)-F(b)/a-b
what is the slpe of a secant line
the AROT over an interval
what os slope of tan line
ROT at a specific point
value of delta x at Fâ(x)
0
formula for fâ(x)
F(a+Delta X)-F(a) / Delta X
what is squeeze throum
showing that a limit of a fucntion is somethingbecause it needs to be within two other funtions that have the same value at a specified point
what are the unites for velocity
s/t (units/time)
explain douuble sided limits
if they are equal forom both side, it exists at this point, if it is different from either side, this DNE
when can you seperate a limit into tow seperate limits and when can you not?
You can when both exist
lim x to 0 from pos for 1/x
inf
lim x to 0 from neg for 1/x
-inf
lim x to 0 1/x
DNE
if we have a limit of a funtion that is to the power of an integer, when can we bring the power over the entire limit?
If the limit function is to the power of a pos integer
If we have a funcion that has a function that is under a radicle, when can we bring this raduical over the whole limit?
If the root is a pos integer
for squeeze, what do we usally use as our first term
cos or sin
why do we use cos or sin in squeeze thereoum
because both have the range -1-1, domain -inf-inf
lim x to 0 for siin(x)/x
1
what is the IVT
Intermediat value thwerous, this is the provinf that a point either crosses or does not cross a line over a given interval.
