Brian McLogan
Find the extrema using the second derivative test
👉 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...
Brian McLogan
Learn how to use the second derivative test to determine relative extrema
👉 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...
Brian McLogan
Learn how to use the second derivative test for relative extrema radical function
👉 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...
Brian McLogan
Applying the second derivative test to a table of values
👉 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...
Brian McLogan
Given fx sketch the first and second derivative graph
👉 Learn all about the applications of the derivative. Differentiation allows us to determine the change at a given point. We will use that understanding as well as different theorems such as FTOA, IVT, EVT, MVT, Rolle's Theorem, first...
Brian McLogan
Second derivative of a rational expression
👉 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
👉 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...
3Blue1Brown
Higher order derivatives: Essence of Calculus - Part 10 of 11
What is the second derivative? Third derivative? How do you think about these?
3Blue1Brown
Higher order derivatives | Footnote, Essence of calculus
What is the second derivative? Third derivative? How do you think about these?
3Blue1Brown
Higher order derivatives | Essence of calculus, chapter 10
What is the second derivative? Third derivative? How do you think about these?
Curated Video
Introducing the Second Derivative in Calculus
The video introduces the concept of the second derivative and demonstrates how to calculate it using differentiation. The presenter applies the general formula for the derivative of rational powers of x to differentiate 6 root x and then...
Curated Video
Understanding Stationary Points through Second Derivative
The video is a presentation on stationary points, specifically using the second derivative. The presenter summarizes a previous lecture on finding maximum and minimum points and looking at the gradient function. They then introduce an...
Brian McLogan
Take the second derivative of a natural logarithmic equation
👉 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 take the second derivative using implicit differentiation
👉 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
Find the particular solution given the conditions and second derivative
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...
Professor Dave Explains
Higher Derivatives and Their Applications
What are second derivatives and third derivatives? Let's learn about higher derivatives and their applications.
Brian McLogan
Given the derivative graph of f' find the relative min
Learn how to sketch the graphs of f, f', f'', given any one of its graph. Given a function y = f(x), the derivative of the function y' = f'(x) represents the change in the value of the function with respect to a change in x. f'(x)...
Brian McLogan
Learn how use the quotient rule to take the derivative including cosine
👉 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
Given the graph of f' find the intervals the graph is increasing
Learn how to sketch the graphs of f, f', f'', given any one of its graph. Given a function y = f(x), the derivative of the function y' = f'(x) represents the change in the value of the function with respect to a change in x. f'(x)...
Brian McLogan
Find the intervals of concavity from the second derivative graph
👉 Learn how to determine the extrema, the intervals of increasing/decreasing, and the concavity of a function from its graph. The extrema of a function are the points where the graph changes from increasing to decreasing or vice versa. A...
Flipping Physics
LC Circuit Equation Derivations
In this morning's lesson on LC circuits, we derive equations for charge, current, and energy as functions of time. Exploring the total potential energy in the circuit, we use the chain rule to find the second derivative of charge with...
Professor Dave Explains
Linear Second-Order Differential Equations Part 1: Homogeneous Case
After a number of tutorials covering first-order differential equations, it's time to start tackling second-order differential equations. These contain a second derivative term, and they are quite useful in physics. To introduce these,...
Brian McLogan
Learn how to take the fourth derivative of a polynomial
👉 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...