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calculators

  f(x) = 
  f(x) = 
  of 
for  from  to 

QuickMath
derivatives, indefinite integrals and definite integrals including symbolic results

WebGraphing.com
free graphing of linear , quadratic and cubic functions including a calculus analysis

calculus popup tools - WWW Interactive Server
limits, derivatives, indefinite integrals and definite integrals including symbolic results

function calculator
limit, 1st to 5th derivative, Taylor expansion, indefinite integral, definite integral, graph, roots, extrema

MathServ Calculus Toolkit
wide variety of calculators and plotters for algebra and calculus

Online Tools - Maths Online

Eigenmath software - George Weigt
symbolic algebra and calculus

step-by-step derivatives and integrals - Calc101
Study worked examples or differentiate your own expressons.

graphing calculator - Patrik Lundin
with derivatives

graph plotter - Walter Fendt
This function graph plotter plots derivatives and second derivatives.

definition of derivative as gradient of tangent (instantaneous rate of change)

Match the graphs of the function and its derivative. Graphing the Derivative - Finite Math & Calculus
discussion and examples

relationship between the tangent and the secant

graph of secant gradient function gradient of tangent as limit of gradient of secant
For various power functions, view the graph and a table of the gradients of secants.

second derivative - relationship between a function, its derivative and its second derivative

Qualitative Grapher
Simulate a displacement-time graph.

One-Dimensional Kinematics - StudyWorks Online
The motion of cars and rockets is used to illustrate the position, velocity, acceleration and associated graphs.

motion with constant acceleration - Walter Fendt
simulation of a car moving with constant acceleration - graphs of displacement, velocity and acceleration

37 question quiz on position-time and velocity-time graphs - StudyWorks Online

Graph Lab
See the effect on the displacement-time graph and the velocity-time graph of changes in the values of the intial position x0, the initial velocity v0 and the acceleration.

displacement-time graph activity - download the java applet by Howard Darwin
The motion of the mouse is reresented as a displacement-time graph. Move the mouse to match the different graphs provided. Take the 10 question quiz.

Two Terrains problem
Identify the best path for a vehicle, depending on whether it has better on road or off road performanc.

number e

composition of functions - software
This slide show shows how f(g(x)) can be constructed graphically from the graphs of f(x) and g(x). It also shows how the chain rule f(g(x))'=f'(g(x))g'(x) can be obtained graphically using this construction.

activity page - optimisation
optimisation problems

Bezier splines
A curve is drawn so that it passes through two chosen points and has selected gradients at those points.

Draw the direction field for a first order differential equation and plot solutions.

intuitively understanding the integral - Maths Online
relationship between the graph of a function and the graph of the area function

function/derivative/integral - Cut the Knot
Drag the graph and see the effect on the derivative and integral.

area/integral - R.F.Barrow
Choose a linear, quadratic or cubic function, drag the lower and upper limits and see the area and definite integral.

graphic integral
Match the graph of a function to a graph of an anti-derivative.

Mathematics for Technology software
Freeware includes differentiation and integration visualisation.

Plot the surface of a solid of revolution about the x or y axis - MathServ Calculus Toolkit.

volume of revolution
The graph y=x^0.5 is revolved about the x-axis.

integration by parts tabular method - Finite Math & Calculus Chapter 7
the easiest method of implementing integration by parts!

Find the error in this integration by parts.

left, midpoint and trapezoid rules - Joseph Zachary
The accuracy of the different methods is demonstrated graphically for several functions.

left, right, midpoint, trapezoid and Simpson's rules
only one example but excellent graphics

Numerical integration - Finite Math & Calculus

numerical integration calculator - Sylvain Deshayes
Graphical demonstration of different methods - you choose the function and limits.

Mathematics Used In Technology
applications of Mathematics to various areas of technology

numerical methods of solving equations

learning resources and sources of problems other links