Instructional Video3:01
Brian McLogan

How to find the transformation vector from a figure slide

12th - Higher Ed
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up,...
Instructional Video2:42
Brian McLogan

Learn how to take the derivative by charts with product rule

12th - Higher Ed
👉 Learn how to find derivative using a given table of values. 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...
Instructional Video4:57
Brian McLogan

Learn how to determine concavity of a polynomial function

12th - Higher Ed
👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down. To test for...
Instructional Video4:07
Brian McLogan

Find the double derivative of the natural logarithm

12th - Higher Ed
👉 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...
Instructional Video0:41
Brian McLogan

Using negative exponents to avoid using quotient rule to take the derivative

12th - Higher Ed
👉 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...
Instructional Video3:06
Brian McLogan

Learn how to take derivative using quotient rule by simplifying first

12th - Higher Ed
👉 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 Video5:37
Brian McLogan

Learn how to find the critical values of a function

12th - Higher Ed
👉 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...
Instructional Video8:21
Virtually Passed

Static Friction Example 1

Higher Ed
The maximum friction force that can be a applied on a stationary object is F_max = u_s N
Instructional Video3:04
Brian McLogan

Find the derivative of the inverse of a trig equation

12th - Higher Ed
👉 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...
Instructional Video1:22
Brian McLogan

Find the derivative of inverse of a function given values

12th - Higher Ed
👉 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...
Instructional Video2:13
Brian McLogan

Use the quotient rule inside of the chain rule

12th - Higher Ed
👉 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...
Instructional Video1:28
Brian McLogan

Learn to use the properties of logarithms to take the log of the expression

12th - Higher Ed
👉 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...
Instructional Video1:51
Brian McLogan

Reflecting a polygon over a horizontal line of symmetry

12th - Higher Ed
👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Instructional Video2:55
Brian McLogan

Take the second derivative of a natural logarithmic equation

12th - Higher Ed
👉 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...
Instructional Video5:10
Brian McLogan

Derivative of arcsine and simplify to common denominators

12th - Higher Ed
👉 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...
Instructional Video0:57
Brian McLogan

Take the derivative of exponential with negative power

12th - Higher Ed
👉 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...
Instructional Video8:06
Math Fortress

Differential Equations: Implicit Solutions (Level 3 of 3)

12th - Higher Ed
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 slightly more challenging examples illustrating how to verify implicit solutions, find explicit solutions, and...
Instructional Video0:55
Brian McLogan

Determine the extrema using the end points of a closed interval

12th - Higher Ed
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which...
Instructional Video1:35
Brian McLogan

Determine the extrema of a function on a closed interval

12th - Higher Ed
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which...
Instructional Video4:39
Brian McLogan

How to rotate a line 270 degrees

12th - Higher Ed
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also...
Instructional Video6:32
Brian McLogan

What are dilations, similarity and scale factors

12th - Higher Ed
👉 Learn about dilations. Dilation is the transformation of a shape by a scale factor to produce an image that is similar to the original shape but is different in size from the original shape. A dilation that creates a larger image is...
Instructional Video1:26
Brian McLogan

Applying the chain rule with natural logarithms

12th - Higher Ed
👉 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...
Instructional Video4:17
Brian McLogan

Determine the paticular solution of integration

12th - Higher Ed
👉 Learn how to find the particular solution to 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...
Instructional Video1:34
Brian McLogan

Given two functions that are inverses find the derivative

12th - Higher Ed
👉 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...