Maths B

Mathematics Resources - Maths B
Differentiation - introduction

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notes - gradient of tangent as limit of gradient of secant

activity pages

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

Match the graphs of the function and its derivative.

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

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

Graphing the Derivative - Finite Math & Calculus
discussion and examples

relationship between the tangent and the secant

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

first and second derivative
Use scrollbars to adjust a cubic function and see the effect on the graphs of the function and its first and second derivative.

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

resources page - calculus (includes calculators/tools)

calculator