A Level Mathematics Syllabus Statement

Syllabus Content

Differentiate simple functions and relations defined implicitly or parametrically, for first derivative only

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

"A package is in the shape of a cuboid and has a length \(l\) cm, width \(w\) cm and height of 12 cm." ... more

"Consider the function \(f(x)=x^3-9x+2\)." ... more

"Let \(f(x)=jx^3+jx^2+kx+m\) where \(j, k\) and \(m\) are constants." ... more

"The following equation defines a curve which passes through \( A( 2 \pi ,3 \pi)\)" ... more

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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.

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A Level Mathematics Syllabus Statement

Differentiation