Term
|
Definition
∫ f(x) dx = F(b) - F(a)
where F'(x) = f(x) |
|
|
Term
|
Definition
| Derivative of ∫ f(t) dt = f(u) du/dx |
|
|
Term
| Intermediate Value Theorem |
|
Definition
If the function f is continuous on [a,b], then for any number c between f(a) and f(b), there exists a number d in the open interval (a,b) such that
f(d) = c. |
|
|
Term
|
Definition
If the function f is continuous on [a,b] and the first derivative exists on the interval (a,b), then there exists a number c in (a,b) such that
f'(c) = (f(b) - f(a))/(b-a) |
|
|
Term
|
Definition
If the function f is continuous on [a,b], the first derivative exists on the interval (a,b) and
f(a) = f(b), then there exists a number c in (a,b) such that f'(c) = 0 |
|
|
Term
| Average value of a function |
|
Definition
|
|
