More Maple worksheets on differentiation |

Basic calculus topics:

- Calculus introduction, limits and continuity
- Introduction to derivatives
- Implicit and parametric differentiation
- Applications of differentiation
- Integration and area
- Integration techniques
- Applications of integration

The following Maple worksheets can be downloaded.

They are all compatible with

Classic Worksheet Maple 10.

CYCLOID

Implicit functions-implctfn.mws

- Graphs of implicit functions

Implicit differentiation-impdiff.mws

- The method of implicit differentiation.
- Implicit differentiation in action.
- Some standard expressions which occur when differentiating implicitly.
- Implicit differentiation using
diff.- Tangent lines to general curves defined by an equation involving two variables.
- Existence of derivatives of implicit functions.

Parametric curves-param.mws

- Graphs of implicit functions.
- The gradient of a parameterized curve.
- Determining the gradient of some parameterized curves.
- The cycloid.
- The speed of a point moving along a curve.
- The speed of a point on the rim of rolling wheel.

Some interesting curves-curves.mws

- Lemniscate.
- Dumb-bell.
- Cissoid.
- Bifoliate.
- Trefoil.
- Maltese Cross.

Derivatives of trig functions-difftrig1.mws

- The derivatives of the sine and cosine functions.
- A more formal treatment of the two limits needed

Derivatives of trig functions II-difftrig2.mws

- Graphical illustration of the derivatives of the sine and cosine functions.
- Derivatives of other functions defined using trig functions.

Derivatives of trig functions III-difftrig3.mws

- Derivatives of tan, sec, cosec, cot.

Exponential and logarithm functions-explog.mws

- Logarithm functions.
- The derivative of the general logarithm function.
- The exponential function.
- Some graphs involving the exponential function.

GRADIENT FUNCTION FOR CYCLOID