Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
8 Cards in this Set
- Front
- Back
|
FTC
|
if a function is continuous on [a,b] and F is the antiderivative of f on the interval [a,b] then
[∫b to a] f(x) d(x)= f(b) - f(a) |
|
|
MVT
|
if f is continous on the closed then there exists a number c between [a,b] such that:
f'(c)= f(b) - f(a) / b - a |
|
|
average rate of change
|
slope
|
|
|
average value of a function
|
f(c)= 1/(b-a) [∫b to a] f(x) dx
|
|
|
rolle's theorm
|
if f is continuos on [a,b[ and differentiable on (a,b) and f(a)=f(b)
then there exists a c such that f'(c)=0 |
|
|
EVT
|
if f is cont. on [a,b] then there must exist a min and a max
|
|
|
IVT
|
if f is cont. on [a,b] and the number k exists btwn f(a) and f(b), then there much be one number c in [a,b] such that f(c)=k
|
|
|
for a limit to EXIST..
|
the limit from the left must be equivalent to the limit on the right
|
