basic rules & theorems for differentiation
TRANSCRIPT
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: