## Maplesoft offers an extensive collection of products and free resources to support teaching and learning differential calculus.

Whether you are trying to find a limit, calculate a derivative, plot a function, or understand the epsilon-delta definition of a limit, Maplesoft makes differential calculus easier to understand, easier to teach, and easier to do.

###### Featured Differential Calculus Examples and Downloads

###### Differential Calculus Resources, Tutorials, and Examples

**The Möbius Project**

Mathematics Everywhere: Online applications and calculators**Teaching Concepts with Maple**

Video examples and Maple documents illustrating mathematical concepts- Derivatives by Definition: Polynomials
- Evaluation of a Limit
- Implicit Differentiation
- Tangent and Normal Lines
- Derivative of Square Root by Definition
- Constrained Optimization: Largest Rectangle with Fixed Perimeter
- Constrained Optimization: Rectangle Under an Ellipse
- Graph f and its Derivatives
- Related Rates: Two Ships Problem
- Rational Function
- Related Rates: Volume and Surface Area of a Sphere
- Taylor Polynomials
- Cubic with Prescribed Extrema
- Minimization Problem: Distance from a Point to a Curve
- Newton's Method
- Approximation by Differential
- Mean Value Theorem
- Related-Rates Problem for a Scalene Triangle
- Related Rates - The "Sand-Pile" Problem
- Antiderivatives
**Application Center**

Thousands of free Maple documents from Maplesoft and the community

**Related Resources**

- Clickable Math Techniques

Over 50 free applications demonstrating how to use Maple's Clickable Math methods to solve standard problems. - Teaching Calculus with Maple:

A Complete Kit

Leveraging both Maple and Maple T.A., Teaching Calculus with Maple includes lecture notes, student worksheets, Maple demonstrations, Maple T.A. homework, and more.

**Community**

- MaplePrimes

The world's largest community of Maple users. Questions, posts, help, musings, answers, and more.

###### Differential Calculus Commands and Help in Maple

**Maple Online Help**- Calculate limit

limit - Create a two-dimensional plot

plot - Definite and indefinite integration

int - Demonstrate Newton's method

Student[Calculus1][NewtonsMethod] - Determine the Special Points of a Function

Find the asymptotes, critical points, extreme points, points of inflection, and roots of a univariate function. - Differentiation or partial differentiation

diff or Diff - Evaluation

eval - Find the antiderivative(s) of an expression

Student[Calculus1][AntiderivativePlot] - Find the distance between two points

Student[Precalculus][Distance] - Functional Operators

A functional operator in Maple is a special form of a procedure. Functional operators are written using arrow notation. - Illustrate Newton's Method

Student[Calculus1][NewtonsMethodTutor] - Solve a limit problem step-by-step

Student[Calculus1][LimitTutor] - Plot an expression and its derivative

Student[Calculus1][DerivativePlot] - Plot an expression and its derivative (tutor)

Student[Calculus1][DerivativeTutor] - Plot rational functions

Student[Precalculus][RationalFunctionPlot] - Return the Newton quotient of an expression

Student[Calculus1][NewtonQuotient] - Return the Taylor series for a multivariate function

Student[MultivariateCalculus][TaylorApproximation] - Solve one or more equations

solve - Solve one or more equations using floating-point arithmetic

fsolve - Transform quadratic expressions to completed square form

Student[Precalculus][CompleteSquare] - Two-dimensional implicit plotting

plots[implicitplot] **Related Maple Features**- Math Equation Editor

Express complicated mathematical problems easily using standard mathematical notation. - Context-Sensitive Menus

Perform mathematical operations by simply clicking the object and selecting the desired operation from the menu of choices provided. - Task Templates

Task templates provide convenient, fill-in-the-blank problem solving for over 300 tasks. - Math Apps

Maple provides demonstrations, in the form of Math Apps, to illustrate various mathematical and/or scientific concepts.