AP BC Calc 4.1 (contd) Integration by Substitution and Trigonometric Substitution
Ferguson Notes
For integrals that dont have a specific formula that you can just remember, there are a couple of metho
AP BC Calculus 1.6 Higher Order Derivatives
Ferguson Notes
A quick note on notation of derivatives
If we use the traditional notation to indicate that the independent variable is and the dependent var
AP BC Calc 1.4 Limit Laws
Ferguson Notes
By this time, weve looked at a theoretical depiction of limits by way of the definition and intuition. In this section, we
will look at how to actually evaluat
AP BC Calc 1.4 Limit Laws
Ferguson Notes
By this time, weve looked at a theoretical depiction of limits by way of the definition and intuition. In this
section, we will look at how to actually evaluat
AP BC Calc 1.3 Intro to Limits
Ferguson Notes
So what is a limit? Thats what were going to spend this set of notes discussing by the time were done, we should
know what a limit generally is.
Lets firs
AP BC Calc 1.3 Intro to Limits
Ferguson Notes
So what is a limit? Thats what were going to spend this set of notes discussing by the time were done, we
should know what a limit generally is.
Lets firs
AP BC Calc1.2 Prelude to Instantaneous Rate of Change
Ferguson Notes
As discussed before, the instantaneous rate of change doesnt consider the amount of change on a specific interval [a,b]
rather, it
AP BC Calculus 1.1 Average Rates of Change
AROC vs. IROC
AROC = average rate of change
With the average rate of change of some function with respect to the independent variable, we are looking at the
AP BC Calculus 1.1 Average Rates of Change
AROC vs. IROC
AROC = average rate of change
With the average rate of change of some function with respect to the independent variable, we are looking at the
AP BC Calculus 1.6 Higher Order Derivatives
Ferguson Notes
A quick note on notation of derivatives
If we use the traditional notation y f ( x) to indicate that the independent variable is x and the de
AP BC Calc 2.1 The Power Rule and Linearity
Notes
Ferguson
During the last couple of sections of chapter 1, we learned about the derivative: its definition, its methodology,
and its applications. Addi
AP BC Calc 4.1 Basic Antidifferentiation
Ferguson Notes
Antidifferentiation is just what it sounds like: the opposite of differentiation. Its going the other way. What this means
is that imagine that
AP BC Calc 3.3 Optimization
Ferguson Notes
The goal of optimization is to find a maximum or minimum value in an application problem. For instance, a CEO of a
company may want to minimize costs while s
AP BC Calc 3.3 Optimization
Ferguson Notes
The goal of optimization is to find a maximum or minimum value in an application problem. For instance, a
CEO of a company may want to minimize costs while s
AP BC Calc 2.3 Chain Rule and Inverse Functions
Ferguson Notes
Now that weve seen how to differentiate simple formulas, products, and quotients, we have to learn how to
differentiate composite functio
AP BC Calc 2.3 Chain Rule and Inverse Functions
Ferguson Notes
Now that weve seen how to differentiate simple formulas, products, and quotients, we have to learn how to
differentiate composite functio
AP BC Calc 2.2 The Product and Quotient Rules
Ferguson Notes
Lets review what we can do with functions, from an algebraic standpoint. Let f ( x) and g ( x) be the functions
that were considering. For
AP BC Calc 2.2 The Product and Quotient Rules
Ferguson Notes
Lets review what we can do with functions, from an algebraic standpoint. Let and be the functions that were
considering. For these two func
AP BC Calc 2.1 The Power Rule and Linearity
Ferguson Notes
During the last couple of sections of chapter 1, we learned about the derivative: its definition, its methodology, and its
applications. Addi
AP BC Calc1.2 Prelude to Instantaneous Rate of Change
Ferguson Notes
As discussed before, the instantaneous rate of change doesnt consider the amount of change on a specific
interval [a,b] rather, it
AP BC Calc P.2 Properties of Functions
Ferguson Notes
After carefully reviewing the definition of a function, we should have a clearer understanding of what it is, from a rather
practical standpoint,
AP BC Calc P.2 Properties of Functions
Notes
Ferguson
After carefully reviewing the definition of a function, we should have a clearer understanding of what it is, from
a rather practical standpoint,
AP BC Calc 4.3 What is a Differential Equation?
Ferguson Notes
Weve somewhat seen differential equations before. When we found a derivative of a function, that was technically a
differential equation.
AP BC Calc 4.3 What is a Differential Equation?
Ferguson Notes
Weve somewhat seen differential equations before. When we found a derivative of a function, that was
technically a differential equation.
AP BC Calc 4.2 Integration By Partial Fractions
Ferguson Notes
In 4.1, we learned how to integrate a lot of different things but we didnt really learn how to integrate advanced
rational functions. Tha
AP BC Calc 4.2 Integration By Partial Fractions
Ferguson Notes
In 4.1, we learned how to integrate a lot of different things but we didnt really learn how to integrate
advanced rational functions. Tha
AP BC Calc 4.1 Basic Antidifferentiation
Ferguson Notes
Antidifferentiation is just what it sounds like: the opposite of differentiation. Its going the other way. What this means
is that imagine that
AP BC Calc 4.1 Basic Antidifferentiation
Ferguson Notes
Antidifferentiation is just what it sounds like: the opposite of differentiation. Its going the other way. What
this means is that imagine that
AP BC Calc 4.1 (contd contd) Integration by Parts and Trigonometric Integrals
Ferguson Notes
In the first part of 4.1, the part addressing the method of Integration by Substitution, we found that the
AP BC Calc 4.1 (contd contd) Integration by Parts and Trigonometric Integrals
Ferguson Notes
In the first part of 4.1, the part addressing the method of Integration by Substitution, we found that the