Instructional Video10:34
Math Fortress

Calculus II: Trigonometric Integrals (Level 1 of 7)

12th - Higher Ed
This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 4 basic examples illustrating the case...
Instructional Video3:07
Brian McLogan

Find the values that the equation are not defined for

12th - Higher Ed
πŸ‘‰ Learn how to find the domain of rational functions with a radical numerator. 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...
Instructional Video2:39
Brian McLogan

Setting your quadratic equation equal to zero so that you can factor out GCF and solve

12th - Higher Ed
πŸ‘‰Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Instructional Video1:45
Brian McLogan

Determine the slope between two points

12th - Higher Ed
πŸ‘‰ Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Instructional Video2:04
Brian McLogan

How to use the definition of a derivative to evaluate the limit

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video7:49
Brian McLogan

Find the derivative using quotient rule inside of the product rule

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video1:00
Virtually Passed

(1+k/x)^x

Higher Ed
Can you solve the limit of (1+k/x)^x as x approaches infinity?
Instructional Video3:34
Brian McLogan

How to find the equation of a parabola in conic sections given vertex and directrix

12th - Higher Ed
Learn how to write the equation of a parabola given the vertex and the directrix. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared)....
Instructional Video1:33
Brian McLogan

Second ftc example with cube root

12th - Higher Ed
πŸ‘‰ Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Instructional Video4:17
Brian McLogan

How to evaluate the definite integral of absolute value

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video11:18
Catalyst University

Physical Differentials (2 of 2): Coulombic Transformations

Higher Ed
Physical Differentials (2 of 2): Coulombic Transformations
Instructional Video1:31
Brian McLogan

Learn how to determine the domain from a rational function

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video1:06
Brian McLogan

Learn to find the values the function is undefined, then write domain

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video1:14
Brian McLogan

Find the slope between two points when undefined

12th - Higher Ed
πŸ‘‰ Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Instructional Video1:33
Brian McLogan

Second FTC example with cube root

12th - Higher Ed
πŸ‘‰ Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Instructional Video10:23
Professor Dave Explains

Optimization Problems in Calculus

12th - Higher Ed
An introduction to optimization problems.
Instructional Video12:33
Flipping Physics

Force of Gravity and Gravitational Potential Energy Functions from Zero to Infinity (but not beyond)

12th - Higher Ed
The force of gravity and the gravitational potential energy between an object and a planet is derived and graphed, inside and outside the planet.
Instructional Video1:31
Brian McLogan

How to determine if a piecewise function is continuous or not with limits

12th - Higher Ed
πŸ‘‰ Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Instructional Video34:20
Brian McLogan

What you Need to Know about Functions for Pre-Calculus

12th - Higher Ed
What you Need to Know about Functions for Pre-Calculus
Instructional Video5:52
Brian McLogan

How to determine the increasing and decreasing values

12th - Higher Ed
πŸ‘‰ Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Instructional Video1:07
Brian McLogan

Evaluate the left and right hand limit by graphing the function

12th - Higher Ed
πŸ‘‰ Learn how to evaluate the limit of an absolute value function. 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 absolute value...
Instructional Video2:30
Brian McLogan

How to apply the 2nd ftc with secant squared

12th - Higher Ed
πŸ‘‰ Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Instructional Video5:09
Brian McLogan

Simplifying the difference quotient

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video1:00
Brian McLogan

Learn how to determine the limit of a logarithmic function

12th - Higher Ed
πŸ‘‰ Learn how to evaluate the limit of a transcendental function. 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 limit of a function...