Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Derivative: Graphical Viewpoint
The resource investigates the graphical approach of calculating the derivative. Topics examined are secant and tangent lines. Students learn about the calculus concepts through notes and examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Introduction to the Derivative
The topic summary outlines derivatives. Some topics reviewed are average rate of change, derivative rules, and marginal analysis. The resource consists of definitions, notes, and examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Review Exercises: Introduction to the Derivative
Students review derivatives. The resource consists of review exercises on the mathematics concepts.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Derivadas. Aplicaciones. Optimizacion.
In Spanish. This interactive unit is intended to show you how to calculate the derivative of a function and the application of the derivative in other sciences.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Derivadas Laterales
This interactive unit is intended to show by graphing and calculations, the elements involved in the study of the growth of a functions and its relation to the definition of derivative.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Calculus Grapher
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
Jim Loy
Derivatives
This site explains the derivative as the tangent at a point on a curve. The concept of finding the tangent is discussed; links are provided for the concept of taking a limit.
Other
Karl's Calculus Tutor: Applications of Derivatives
This detailed site provides five web pages devoted to the various applications of derivatives. Content includes several examples and learning exercises.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Quiz: Introduction to the Derivative
The online quiz assesses student comprehension of math concepts. The quiz consists of true/false questions about derivatives.
Wolfram Research
Wolfram Math World: Derivative of a Function
Nice comprehensive site dealing with the derivative. The site contains derivatives of basic fundamental functions. The site goes on to give unexplained rules when taking simple derivatives. These rules have links for further explanations.
University College London
University College London: Hyperbolic Table of Contents
This is a good site from the University College London with links to the various sections on hyperbolics.
CK-12 Foundation
Ck 12: Analysis: Instantaneous Rates of Change
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between average rate of change and instantaneous rate of change. Students examine guided notes, review guided practice,...
CK-12 Foundation
Ck 12: Analysis: Constant Derivatives and the Power Rule
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn about the derivatives of constants and the power rule. Students examine guided notes, review guided practice, watch instructional...
Analyze Math
Analyze Math: Derivative of Tan(x)
The interactive tutorial investigates the graph of the derivative of tan (x).
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.
Analyze Math
Analyze Math: First Derivative of a Function
The interactive applet examines the graphical interpretation of the derivative of a function based on the difference quotient.
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...
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: Definition of the Derivative of a Function
Students use the interactive applet to investigate the difference quotient.
Math Open Reference
Math Open Reference: Fundamental Theorem of Calculus
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Mathematics Archives
Math Archives: Visual Calculus: Differentiation Formulas
This site gives the definition of a derivative, discusses the derivative of a constant function, gives general operations to use on functions with derivatives (scalar multiplication, addition, and the power rule). The site has multiple...
Wikimedia
Wikipedia: Differential Equation
An encyclopedia article on differential equations discusses ordinary differential equations, how differential equations are solved, and uses of differential equations. The site has many links to clarify topics.
Math Graphs
Houghton Mifflin: Math Graphs: Slope of a Tangent Line 5 [Pdf]
Learners estimate the slope of the tangent line and verify their answer analytically. The graph is available in PDF format.