1. FACT SHEET:
BASIC RULES AND THEOREMS
FOR DIFFERENTIATION
Definition for Differentiation
Linearization
Leibniz’ Rule for Repeated Differentiation
Standard Inverse Trigonometric Derivatives
Intermediate Value Theorem
A function that is continuous at for all values of takes
on every value between .
Rolle’s Theorem
Given:
o is CONTINUOUS at all
o is DIFFERENTIABLE at all
o
Then:
Mean Value Theorem
Given:
o is CONTINUOUS at all
o is DIFFERENTIABLE at all
Then:
Constant Difference Theorem
If: at each …
Then: