Local Minima and Maxima Teacher Resources

Before solving any problems, Sal gives an overview of what happens to the slope, first derivative, and second derivative at local maxima and minima to give the viewer a more intuitive feel for these types of problems.

In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.

AP Calculus classes follow along as a video tutorial explains the process of determining the location of local maximum and minimum. The instructor first finds the derivative using the Quotient Rule. After finding the critical values, he...

In this extrema and optimization worksheet, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page worksheet contains two...

For this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.

In this derivatives worksheet, students complete a function chart by telling the type of function, the derivative, and making an illustration of the concept. They find the intervals at which a given function is increasing or decreasing....

Get the maximum possible benefit from an optimal video. Scholars first review how to find critical points and how to test for local and global maxima and minima. They then apply these skills to a geometric optimization problem.

In a problem where you are not given the original function, but rather only three known points on the graph and a few additional pieces of information about when the first and second derivatives are positive or negative, Sal shows how...

For this map worksheet, students use information from given topical maps and locate the maxima and solve one dimensional wave equations. This two-page worksheet contains four problems.

In this multivariable optimization worksheet, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions. This four page...

In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...

In this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...

In this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...

In this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...

Eighth and ninth graders graph a given function and identify the domain, range and intercepts. Theytell the intervals that the function is increasing, decreasing, or constant. Pupils identify the minimum and maximum of the graph, and...

In this math worksheet, students examine one equation and identify the maximum and minimum value of the equation. Using Excel worksheet, students graph the equation. There is one equation with three parts on this one-page worksheet.

In this math instructional activity, students try to fit a line to a set of data. Then they use the least squares method is based on minimizing the sum of the squares of the errors.

Students identify critical points on a graph. In this calculus activity, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.

For this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.

In this math worksheet, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.

In this infinite limit worksheet, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page worksheet contains examples and explanations and...

Students determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.

Pupils calculate the Balmer series. In this physics lesson, students observe hydrogen lamp spectra using spectrometers. They calculate wavelength and compare them with their theoretical calculations.