Curated OER
A.P. Calculus - First Semester Examination
In this calculus exam instructional activity, students solve 40 multiple choice and short answer problems. Students find derivatives, second derivatives, normal lines, slopes, etc.
Curated OER
Eighteen Higher Order Derivative Problems
In this higher order derivatives worksheet, students find the first, second, or third derivative in eighteen problems. Students also evaluate derivatives for given values.
Curated OER
Applications of Derivatives: Finding Maxima and Minima
In this derivative worksheet, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page worksheet contains...
Harvey Mudd College
Harvey Mudd College: Concavity and the Second Derivative Test
An excellent tutorial explaining concavity and the second derivative test, including a labeled diagram, examples, and links to a quiz.
Texas Instruments
Texas Instruments: Relating Graphs of a Function to Derivatives
Students will be lead to discover the relationship between the graph of a function, graph of first derivative, and graph of the second derivative using TI-InterActive!.
Texas Instruments
Texas Instruments: Graphing Relationships
In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Funcion Derivada
In Spanish. Learn with these interactive exercises the concept of the derivative of a function, calculate tangents to a curve and maximum and minimum values of functions.
Math Is Fun
Math Is Fun: Second Derivative
Second derivative description, examples, and interactive graphing.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Instantaneous Velocity and Related Rates
Here is a site that clearly and thoroughly explains instantaneous velocity and how to solve related rates problems by using implicit differentiation. There are example problems solved, problems for the student to attempt, and answers to...
Mathematics Archives
Math Archives: Visual Calculus: Graph a Function, Its Second Derivative
This online tutorial site shows that the concavity of a function is related to the second derivative of the function by using an online graphing system. Inflection points are also briefly discussed.
Interactive Mathematics
Interactive Mathematics: Higher Derivatives
Examples of taking the second derivatives of functions is presented and applied a the real world problem involving acceleration.