Brian McLogan
Take the natural log of both sides to implicitly derive the equation
π Learn how to find the derivative of an implicit 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...
Curated Video
Graphing Lines in Non-Slope Intercept Form
In this video, the teacher explains how to graph a line that is not in slope intercept form. They demonstrate how to isolate the variable and simplify fractions to write the equation in slope intercept form. The teacher also emphasizes...
Brian McLogan
How to solve a separable differential equation
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Curated Video
Solving Linear Equations with Rational Numbers and Fractions
In this lesson, students will learn how to solve linear equations with rational numbers, focusing on examples involving fractions. They will explore different methods, such as distributing fractions or multiplying both sides by a...
Brian McLogan
Using the quotient rule to take the derivative with natural logarithm
π Learn how to find the derivative of exponential and logarithmic expressions. 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
Expanding the logarithm so that you can take the derivative
π Learn how to find the derivative of exponential and logarithmic expressions. 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
Finding the Zeros and Multiplicity of a Quadratic Function
π Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...
Curated Video
Evaluating Polynomials Using Substitution
In this video, the teacher explains how to evaluate polynomials for a given value using substitution. They go through the order of operations and provide examples to illustrate the process.
Brian McLogan
How to take derivative of a rational function using quotient rule
π 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
Simplify first then find the derivative
π Learn how to find the derivative of a function using the power 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 derivative...
Brian McLogan
Simplify an expression before taking the derivative
π Learn how to find the derivative of a function using the power 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 derivative...
Brian McLogan
How to simplify the difference quotient of a function
π 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
Learn how to solve using quadratic formula
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Use the quotient rule inside of the chain rule
π Learn how to find the derivative of a function using the chain 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 derivative...
Brian McLogan
Summary for solving a system of equations by substitution
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Curated Video
Solving Quadratic Equations with Real Coefficients
In this lesson, students will learn how to solve any quadratic equation with real coefficients and express the solutions in the form a plus or minus bi. They will use the quadratic formula and learn how to simplify square roots of...
Brian McLogan
Second derivative of a rational expression
π 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
Learn to take the second derivative of exponential chain rule
π Learn how to find the derivative of exponential and logarithmic expressions. 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
Find the derivative using the product rule trinomial by binomial
π 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
Derivative of arcsine and simplify to common denominators
π Learn how to find the derivative of the inverse 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...
Curated Video
Indefinite Integration of Rational Powers of x - excluding (-1)
The video is a tutorial on indefinite integration of rational parts of X excluding -1. The speaker explains the process of integration, which is the reverse of differentiation, and how to increase the power of a given function and divide...
Catalyst University
Power Series | Power Series & Interval of Convergence: Example 3
Power Series | Power Series & Interval of Convergence: Example 3
Curated Video
Dividing Numbers in Scientific Notation Using Exponents
In this video, the teacher explains how to divide numbers in scientific notation using the property of exponents. They review dividing powers with the same base and demonstrate how to simplify the quotient by removing common factors.
Brian McLogan
Solving an equations using the sum and difference formulas of cosine
π Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....