Maths B

Mathematics Resources - Maths B
Optimisation using derivatives (and analysing graphs)

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activity pages

Differentiation - increasing and decreasing functions, stationary points
Use graphics calculator to find intercepts, stationary points and points of inflection
Differentiation - optimisation

Match the graphs of the function and its derivative.

derivative puzzles 1,2,3
big derivative puzzle
graphic derivative

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

cubic function - Maths Online
graph plotter - Walter Fendt
power functions - Java applet
trigonometric functions - Java applet

The Trouble with Asymptotes - Mathematical Gazette
This article shows that care is needed when identifying oblique asymptotes. Consider a table of values for the function y=(x+3)(x+1)/(x-2), using a large x-increment such as 100. What do you notice?

resources page - calculus (includes calculators/tools)