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Brian McLogan
How to add two functions reciprocal functions and find the domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
How to add two functions and evaluate for a given value
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Curated Video
Understanding Geometric Representations: Points, Lines, and Planes
In this video, students learn about the distinctness between the definition and representation of geometric terms such as points, lines, and planes. The video explains how specific notation and drawings are used to represent these...
Brian McLogan
Finding the inverse of a function
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Professor Dave Explains
Assigning R/S on Fischer Projections
We've learned about stereochemistry and also how to assign absolute configuration (R/S) to stereocenters using the Cahn-Ingold-Prelog convention. But some students are forced to learn all of this on dreaded Fischer projections. These are...
Curated Video
Introduction to Atoms and Atomic Notation
This video provides an overview of the structure and notation of atoms, including the positively charged nucleus, negatively charged electrons, protons, neutrons, and the arrangement of electrons in energy levels. It also explains how to...
Brian McLogan
How to take the derivative using the quotient rule and simplifying the numerator
👉 Learn how to find the derivative of a function using the quotient rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Curated Video
Modify a data structure : Big O Notation and Calculating the Runtime of a Function
From the section: Linked Lists. Linked Lists: Big O Notation and Calculating the Runtime of a Function<b<br/>r/>
Linked Lists: Big O Notation and Calculating the Runtime of a Function
Linked Lists: Big O Notation and Calculating the Runtime of a Function
Brian McLogan
What is the difference of differentiation and antidifferentiation
👉 Learn about integration. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite...
Brian McLogan
How to take the derivative using the product rule with sine
👉 Learn how to find the derivative of a function using the product rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
Learn how to take derivative using quotient rule by simplifying first
👉 Learn how to find the derivative of a function using the quotient rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
Learn how to write the domain of a rational function using interval notation
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Curated Video
Understanding Exponents with Negative Bases
This video, explains how to apply exponents to negative bases by understanding different notations. Understand that a negative sign in front of a base number does not mean a negative base, but rather indicates that the negative should be...
Curated Video
Graphing Sinusoidal Functions: Observing the Unit Circle and Plotting Points
In this video, students will learn how to graph sinusoidal functions by plotting points and observing the terminal ray of the unit circle. They will understand the patterns and periodicity of the sine and cosine functions, and how to...
Brian McLogan
Characteristics of functions
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Product rule with cosine and a monomial derivative
👉 Learn how to find the derivative of a function using the product rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
Write the domain in interval notation of a rational function
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Curated Video
Mastering Swift 2 Programming (Video 50)
Swift 2 is a multi-paradigm programming language that has expressive features familiar to modern functional languages, and does not forget the object-oriented features of Objective-C. Things that took a block of code in...
Brian McLogan
Evaluate the derivative using the definition of derivative limit notation
👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Brian McLogan
Apply the properties of logs to simplify an expression
👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The...
Brian McLogan
Learn how to take the fourth derivative of a polynomial
👉 Learn how to find the higher derivative of a function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function...
Brian McLogan
What is exponential and logarithmic form
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
Scientific notation
👉 Learn how to convert numbers from scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero...
Brian McLogan
What is subscript notation and how does it relate to functions
👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric...