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Fractional & Negative Exponents
Logarithms
Function Notation
Finding Input When Given Output
Change by a Constant Amount
Change by a Constant Multiple
Composition of Functions
Thinking About Quantities: The Cylinder Problem
Thinking About Quantities: The Bottle Problem
Making Sense
of Sine & Cosine
Difference Quotient
(1 of 3)
Difference Quotient
(2 of 3)
Difference Quotient
(3 of 3)
Making Sense of Limits:
Part 1 of 6
Making Sense of Limits:
Part 2 of 6
Making Sense of Limits:
Part 3 of 6
Making Sense of Limits:
Part 4 of 6
Making Sense of Limits:
Part 5 of 6
Making Sense of Limits:
Part 6 of 6
Limit Definition of Derivative:
Introduction
Limit Definition of Derivative:
Linear Function
Limit Definition of Derivative:
Quadratic Function
Limit Definition of Derivative:
Rational Function
Limit Definition of Derivative:
Radical Function
Limit Definition of Derivative:
Equation of a Tangent Line
Instantaneous Rate of Change Part 1
Instantaneous Rate of Change Part 2
Interpreting the Derivative
Making Sense of Derivatives:
The Power Rule
Making Sense of Derivatives:
The Sine Function
Making Sense of Derivatives:
The Cosine Function
Derivative of Inverse Sine
Making Sense of Derivatives:
Exponential Growth Function
Making Sense of Derivatives:
Differentiating
aˣ
Derivative Rule:
Finding the Derivative of ln(x)
Using the Derivative of ln(x):
Example 1
Using the Derivative of ln(x):
Example 2
Making Sense of Derivatives:
The Product Rule
Making Sense of The Product Rule:
Real World Example
Making Sense of Derivatives:
The Quotient Rule
Making Sense of The Quotient Rule:
Real World Example
Finding the Derivative of tan(x)
Example Using the Derivative of tan(x)
Derivative of Inverse Tangent
The Chain Rule Part 1:
Exponential Function
The Chain Rule Part 1:
Power Function
Explicitly vs Implicitly Defined Equations
Introduction to Implicit Differentiation
Making Sense of Derivatives: Implicit Differentiation
Implicit Differentiation Example 1
Implicit Differentiation Example 2
Implicit Differentiation of a Tangent Line
Introduction to Optimization
Optimization:
First Derivative
Mean Value Theorem
Why Derivatives Matter:
Birds in Flight
Why Derivatives Matter:
Efficiency of a Cough
Related Rates:
Circle Problem
Related Rates:
Balloon Problem
Optimization:
Second Derivative
Practical Application: The Ladder Problem
Area Under a Curve:
Left-Hand Sum Method
Area Under a Curve:
Right-Hand Sum Method
The Fundamental Theorem of Calculus
About
Subject Areas
Accounting
>
Financial Accounting
Intermediate Accounting
Managerial Accounting
Business
Chemistry
Economics
>
Microeconomics
Macroeconomics
English Composition
ESL
Mathematics
>
Precalculus
Calculus I
Calculus II
Calculus III
Psychology
Sociology
Spanish
Join the Team
Contact Us