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
Learn how to find the points of inflection for an equation
👉 Learn how to find the points of inflection of a function given the equation or the graph of the function. The points of inflection of a function are the points where the graph of the function changes its concavity. The points of...
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 determine concavity of a polynomial function
👉 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...
Brian McLogan
Learn how to determine concavity and point of inflection AP style
👉 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...
Brian McLogan
Find the global max and min from a 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...
Brian McLogan
From a table determine the concavity of a function
👉 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...
Brian McLogan
Does the max and min always occur when there is a horizontal tangent
👉 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...
Brian McLogan
Find the intervals of concavity from the 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...
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...
Brian McLogan
Determine the intervals the graph is decreasing and concave down
👉 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...
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
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
Given a graph of f' learn to find the points of inflection
👉 Learn how to find the points of inflection of a function given the equation or the graph of the function. The points of inflection of a function are the points where the graph of the function changes its concavity. The points of...
Brian McLogan
Determine the points of inflections with trig
👉 Learn how to find the points of inflection of a function given the equation or the graph of the function. The points of inflection of a function are the points where the graph of the function changes its concavity. The points of...
Brian McLogan
What is concavity of a graph
👉 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...
Flipped Math
Calculus AB/BC - Determining Concavity of Functions over Their Domains
Time to take a second look at derivatives finding concavity. While watching the video, learners find out the definition of concavity. Individuals see how to determine whether an interval is concave up or concave down using graphs and the...
Flipped Math
Calculus AB/BC - Approximating a Function's Value Using Local Linearity
No need to be exact every time. Pupils watch an engaging video on approximating function values. They see how to write the equation of a tangent line, use it to calculate approximations, and then determine whether it is an overestimate...
Flipped Math
Calculus AB/BC - Interpreting the Behavior of Accumulation Functions Involving Area
Accumulation functions should behave like other functions. Using content from Unit 5, pupils analyze the first and second derivative to determine the behavior of an accumulation function. Learners find out how to calculate the relative...
Flipped Math
Calculus AB/BC - Exploring Behaviors of Implicit Relations
Put everything together implicitly. Pupils use their knowledge of implicit differentiation to determine whether a curve is increasing or decreasing or its concavity. Given a differential equation, scholars determine whether a specific...
Flipped Math
Calculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative
Uncover what the first and second derivatives reveal about the function. Pupils move beyond sketching graphs to determine what derivatives tell about the function itself. The video reminds learners about particle motion and how to...
Flipped Math
Calculus AB/BC - Using the Second Derivative Test to Determine Extrema
Take a second look at extrema of functions. Pupils learn how to use the second derivative to determine whether a critical point is a maximum or a minimum. Learners use concavity to identify critical points as either a max or a min and...
Krista King Math
All About Graph Sketching!!
There's nothing sketchy about a helpful graphing resource. An informative video shows how to sketch graphs of functions. Scholars first apply derivatives to determine increasing/decreasing behavior, concavity, and asymptotes. They then...
Krista King Math
Inflection Points and Concavity
Confused about concavity? Here's the perfect video. Young mathematicians watch a video that explains the process of using the second derivative to determine inflection points and the concavity of a function. An example reinforces the...