Brian McLogan
Learn how to find the critical values of a polynomial
👉 Learn how to find the critical values of a function. The critical values of a function are the points where the graph turns. They are also called the turning points of a function. To obtain the critical points of a function, first, we...
Brian McLogan
How to find the difference of two vectors
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Brian McLogan
Determine the left and right hand limits using infinity of a function
👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...
Brian McLogan
Learn to use the properties of logarithms to take the log of the expression
👉 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
How to use implicit differentiation on an equation for dy dx
👉 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...
Brian McLogan
Learn how to subtract a mixed number from a negative mixed number
👉 Learn how to add and subtract mixed numbers. Mixed numbers are numbers with two parts: the whole number part and the fraction part. Mixed numbers are ways to represent improper fractions using proper fractions. To add or subtract mixed...
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...
Catalyst University
Power Series: Computing Integrals via Power Series: Example 1
Power Series: Computing Integrals via Power Series: Example 1
Brian McLogan
Derivative of exponential with trig functions inside chain rule
👉 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
Derivative of arcsine and simplify to common denominators
👉 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...
msvgo
Factor Theorem
This nugget explains the proof of the Factor theorem. It includes problems and their solutions based on the theorem.
Brian McLogan
Given three real zeros, learn how to write the equation of a polynomial
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that 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...
Brian McLogan
Learn how to subtract vectors and represent the solution
Learn how to add/subtract vectors. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we simply add each of the corresponding components of the vectors.
Brian McLogan
Given the scalar difference of two vectors find the resultant vector
Learn how to determine the resultant vector by adding, subtracting and multiplying vectors by a scalar. We will also learn how to graph the resultant vectors to show the operations. Vectors can be added, subtracted and multiplied. To add...
Brian McLogan
Evaluate the integral using the area of a semi circle
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Virtually Passed
Projectile Motion proof
Formulas used for finding the velocity and position of a projectile. Featured playlist 6 videos Dynamics: Curvilinear Motion Virtually Passed
Virtually Passed
Derivation of Pendulum equations method 3
Derivation of Pendulum equations method 3
Brian McLogan
Implicit differentiation with the chain rule and in
👉 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...
APMonitor
Python 🐍 Solve Nonlinear Equations with fsolve
This tutorial is an introduction to solving nonlinear equations with Python. The solution to linear equations is through matrix operations while sets of nonlinear equations require a solver such as Scipy optimize fsolve to numerically...
Brian McLogan
Using addition of two angles with triangles to evaluate for cosine
👉 Learn how to evaluate the secant of the sum or difference of two angles using the sum/difference formulas. To do this, we first use the Pythagoras theorem to obtain all the sides of the right triangle in the unit circle. Recall that...
Brian McLogan
Using the half angle formula for sine
👉 Learn how to evaluate the tangent of a half-angle. When given the value of the tangent of an angle, we can evaluate the tangent of half the angle using the tangent half-angle formula. When the value of any other trigonometric function...