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Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

• Differentiation Video A reminder of how to differentiate different types of functions and how to find the equations of tangents and normals.
• Differentiation Practise the technique of differentiating polynomials with this self marking exercise.

Here are some exam-style questions on this statement:

• "A function is given as \(f(x)=3x^2-6x+4+\frac3x,-2\le x \le 4, x\ne 0\)." ... more
• "Consider the graph of the function \(f(x)=7-3x^2-x^3\)" ... more
• "Consider the function \(f(x)=x^3-9x+2\)." ... more
• "The following diagram shows part of the graph of \(y=f (x)\)" ... more
• "Consider the function \(f(x)=\frac{20}{x^2}+kx\) where \(k\) is a constant and \(x\neq0\)." ... more

See all these questions

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

• Calculus It is said that the word calculus comes from the Latin word for the small pebble used for counting and calculations. The two major branches, differentiation and integration, are studied by pupils only towards the end of their school days but does then form a major part of their studies. A course in calculus is a prerequisite for other, more advanced courses in mathematical analysis. Isaac Newton is best known for developing calculus. He was born in England in 1642 and is considered one of the most influential scientists and mathematicians in history.