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
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
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...
Catalyst University
Titration Curves: A Conceptual Math-based Approach
Titration Curves: A Conceptual Math-based Approach
Professor Dave Explains
Higher Derivatives and Their Applications
What are second derivatives and third derivatives? Let's learn about higher derivatives and their applications.
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #5B
Video shows how to find the second derivative of a function and use it to determine if the answer found in the previous video which used the slope of the tangent line is an underestimate or overestimate. [8:18]
Khan Academy
Khan Academy: Calculus: Calculus: Graphing Using Derivatives
Video lesson using the first and second derivatives to find critical and inflection points and to graph a polynomial function. [20:31]
Khan Academy
Khan Academy: Calculus: Calculus: Graphing With Derivatives Example
Video lesson using the first and second derivatives to find critical and inflection points and to graph a natural logarithm function. [25:08]
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #5 B
Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate
Khan Academy
Khan Academy: Optimization With Calculus: Minimizing Sum of Squares
This video shows how to minimize the sum of of squares of two numbers given their product.
Khan Academy
Khan Academy: Optimization With Calculus: Optimizing Box Volume Analytically
In this video you can see how to maximize the volume of a box analytically.
Khan Academy
Khan Academy: Optimization With Calculus: Optimizing Profit at a Shoe Factory
This video shows how can you optimize your profit.
Khan Academy
Khan Academy: Optimization With Calculus: Minimizing Combined Area
In this video using Calculus it shows how to find the cost for the material for the cheapest container.
Khan Academy
Khan Academy: Expression for Combined Area of Triangle and Square
This video shows how to cut the wire to minimize the area of the combined triangle and square.
Khan Academy
Khan Academy: Optimization With Calculus: Optimizing Box Volume Graphically
This video lesson shows how to maximize the volume of a box.
Khan Academy
Khan Academy: Minimizing the Cost of a Storage Container
A video showing how to minimize the cost of a storage container.