Lesson 12
Chapter 2
Slope of a Curve
Instantaneous Rate of Change
Derivative of a Function
Terminology
NOTATION
Evaluation Symbol
PPT Slide
Constant Rule
EXAMPLE
Proof of the Constant Rule
Power Rule for Integers
SOLUTION
Proof of the Power Rule for a Specific Case: y = x2
Constant Multiple Rule
EXAMPLE A SPECIAL CASE (c = -1)
Proof of the Constant Multiple Rule
The Sum Rule
NOTE
Proof of the Sum Rule
One-Sided Derivatives
Note
Differentiable Functions
Theorem: Differentiability Implies Continuity
Theorem: Intermediate Value Property of Derivatives
MATH 1910
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