Math Open Reference
Math Open Reference: Power Functions
Gain an understanding of power functions with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Texas Instruments
Texas Instruments: Functions and Their Extrema
Model the trajectory of the longest home run ever hit while studying extrema of functions on the TI-89. Another real-world problem in this activity involves minimizing the amount of tin used in a cylindrical tank. Following the worked...
Texas Instruments
Texas Instruments: Relation Between Graph of a Function and Graph of Derivative
In this Derive activity, students relate the behavior of the graph of an exponential function to the signs of its first two derivatives. They realize that if the signs of the first two derivatives over a given interval are known, a...
Texas Instruments
Texas Instruments: Investigating the Derivatives of Some Common Functions
In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a...
Texas Instruments
Texas Instruments: Graph of Functions and Their Derivatives
In this activity, students observe the derivative as an indicator of increasing/decreasing function behavior. They also see that the derivative is an indicator of local maxima/ minima function behavior. Students learn to associate the...
Paul Dawkins
Paul's Online Notes: Calculus I: Derivatives
Learners examine derivatives. Topics investigated are product rule, chain rule, derivatives of trigonometric functions, the definition of the derivative, and related rates. Class notes, definitions, and examples with detailed solutions...
Analyze Math
Analyze Math: Differentiation of Trigonometric Functions
Learners examine the formulas of the derivatives of trigonometric functions. Examples with detailed solutions are included.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Derivatives of Inverse Trig Fx
Here is a site that clearly and thoroughly explains how to find the derivatives of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Analyze Math
Analyze Math: Derivative of Inverse Function
The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.
Texas Instruments
Texas Instruments: Using Derive
In this activity, students use the Derive software to solve trigonometric equations, expressions with exponentials, and log equations. They also determine the equation of tangent and normal of a function; evaluate integrals, find area...
Analyze Math
Analyze Math: Differentiation of Exponential Functions
Learners examine the derivatives of exponential functions. The tutorial consists of examples and practice problems with solutions.
Texas Instruments
Texas Instruments: Derivatives (Trig Functions)
This learning check activity will test the students knowledge of the derivatives of the 6 trigonometric functions.
CK-12 Foundation
Ck 12: Analysis: Quotient Rule and Higher Derivatives
[Free Registration/Login may be required to access all resource tools.] In the lesson students study the derivatives of rational functions and higher derivatives of polynomial functions. Students examine guided notes, review guided...
Analyze Math
Analyze Math: Differentiation of Logarithmic Functions
Students investigate the derivatives of logarithmic functions. The resource includes examples and practice problems with solutions.
Discovery Education
Discovery Education: Web Math: Find a Derivative Using the Quotient Rule
WebMath offers an-line solver that allows the student to input a function have it automatically differentiated using the quotient rule.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Trigonometric Functions
The topic summary outlines trigonometric functions. Some topics reviewed are derivatives of trigonometric functions, sine function, trigonometric identities, and indefinite integrals of trigonometric functions. The resource consists of...
Illustrative Mathematics
Illustrative Mathematics: F Bf, a Sse Building a General Quadratic Function
This task is a followup to the one called 'Building an explicit quadratic function.' For this one, students follow the same process with a general quadratic function. The operations take place in the opposite order and the goal is to...
Illustrative Mathematics
Illustrative Mathematics: F if Which Function?
For this task, students are presented with a graph and asked to identify the functions that could be represented by it and explain their thinking. The task addresses knowledge related to interpreting forms of functions derived by...
Math Open Reference
Math Open Reference: Sine (Sin) Function Trigonometry
A complete reference guide to the sine function. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Math Medics
S.o.s. Math: The Derivative
This lesson does a nice job of clarifying what it means to find a derivative. The lesson gives an algebraic method for finding the derivative using limits and offers a geometric interpretation of the derivative.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Derivatives
Hotmath provides 26 practice problems dealing with derivatives and their graphs. Each of the practice problems include a step-by-step guide for solving their derivative.
Duke University
Duke University: Inverse Functions
This resource has links to topics explaining inverse functions. Includes the derivative of an inverse function.
University of Vienna (Austria)
University of Vienna: Functions With Absolute Value Differentiable or Not?
Given eight functions containing absolute value elements, choose whether each is differentiable or non-differentiable. At the conclusion of the exercises, the site returns a score which helps judge understanding of the topic.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: The Derivative
Here is a site that clearly and thoroughly explains the concept of derivative from the definition. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...