The Theorems of Differential Calculus
- Author:
- Charlie Barnes, Tim Brzezinski
- Topic:
- Calculus, Differential Calculus
Below are statements of theorems from differential calculus with accompanying visualizations.
The Squeeze Theorem
If:
- , , and are all continuous functions over ,
- ,
- is between and on , and
- ,
The Intermediate Value Theorem
If:
- is continuous over and
- is a number between and
The Extreme Value Theorem
If:
- is continuous over ,
The Mean Value Theorem
If:
- is continuous over and
- is differentiable over ,
L'Hopital's Rule
If:
- and are both differentiable near ,
- or , and
- exists,