Instructional Video4:38
Brian McLogan

How to take the second derivative using implicit differentiation

12th - Higher Ed
👉 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...
Instructional Video2:33
Brian McLogan

Does the EVT apply

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 Video8:22
Brian McLogan

Learn how to take the derivative of logarithm inside of 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 Video2:15
Brian McLogan

How to determine the global max and min from a piecewise function

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 Video1:12
Brian McLogan

Use the power rule to find the derivative with the variable in the denominator

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 Video0:43
Brian McLogan

Avoid using quotient rule to take derivative by simplifying the function

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 Video7:53
Brian McLogan

Product rule and double chain rule with trig

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 Video2:38
Brian McLogan

How to find the derivative of an expression then simplifying

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 Video0:52
Brian McLogan

Simplify first then find 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 Video1:08
Brian McLogan

Simplify an expression before taking 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 Video1:29
Brian McLogan

Find the derivative by using the properties of 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 Video9:57
Brian McLogan

Learn to implicitly differentiate an equation and define through a point

12th - Higher Ed
👉 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...
Instructional Video3:26
Brian McLogan

How to take the derivative using the product rule with sine

12th - Higher Ed
👉 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...
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 Video1:34
Brian McLogan

How the properties of logarithms can help you take the derivative

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 Video4:07
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 Video0:45
Brian McLogan

Use the product rule to take the derivative of an exponential 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 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 Video10:04
Institute for New Economic Thinking

Giovanni Dosi -- The Survival of the Riskiest

Higher Ed
Financial fragility does not fall from the sky. That's why treating risk as if it comes from exogenous shocks can't capture the reality of financial markets. In Giovanni Dosi's models, systemic risk is inherent to the financial system...
Instructional Video7:20
Math Fortress

Differential Equations: Families of Solutions (Level 4 of 4)

12th - Higher Ed
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over an example illustrating how to verify a particular solution of the one-parameter family of solutions,...
Instructional Video2:25
Brian McLogan

Learn how to use the second derivative test to determine relative extrema

12th - Higher Ed
👉 Learn how to find the extrema of a function using the second derivative test. The second derivative test states that if a function has a critical point for which f'(x) = 0, and the second derivative is positive, then the function has a...